Hardy Uncertainty Principle, Convexity and Parabolic Evolutions View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2016-09

AUTHORS

L. Escauriaza, C. E. Kenig, G. Ponce, L. Vega

ABSTRACT

We give a new proof of the L2 version of Hardy’s uncertainty principle based on calculus and on its dynamical version for the heat equation. The reasonings rely on new log-convexity properties and the derivation of optimal Gaussian decay bounds for solutions to the heat equation with Gaussian decay at a future time.We extend the result to heat equations with lower order variable coefficient. More... »

PAGES

667-678

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00220-015-2500-z

DOI

http://dx.doi.org/10.1007/s00220-015-2500-z

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1016146909


Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
Incoming Citations Browse incoming citations for this publication using opencitations.net

JSON-LD is the canonical representation for SciGraph data.

TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

[
  {
    "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
    "about": [
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0915", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Interdisciplinary Engineering", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/09", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Engineering", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "University of the Basque Country", 
          "id": "https://www.grid.ac/institutes/grid.11480.3c", 
          "name": [
            "Dpto. de Matem\u00e1ticas, UPV/EHU, Apto. 644, 48080, Bilbao, Spain"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Escauriaza", 
        "givenName": "L.", 
        "id": "sg:person.011107432025.24", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011107432025.24"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "University of Chicago", 
          "id": "https://www.grid.ac/institutes/grid.170205.1", 
          "name": [
            "Department of Mathematics, University of Chicago, 60637, Chicago, IL, USA"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Kenig", 
        "givenName": "C. E.", 
        "id": "sg:person.016330172727.14", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016330172727.14"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "University of California, Santa Barbara", 
          "id": "https://www.grid.ac/institutes/grid.133342.4", 
          "name": [
            "Department of Mathematics, University of California, 93106, Santa Barbara, CA, USA"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Ponce", 
        "givenName": "G.", 
        "id": "sg:person.011310113454.49", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011310113454.49"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "University of the Basque Country", 
          "id": "https://www.grid.ac/institutes/grid.11480.3c", 
          "name": [
            "Dpto. de Matem\u00e1ticas, UPV/EHU, Apto. 644, 48080, Bilbao, Spain"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Vega", 
        "givenName": "L.", 
        "id": "sg:person.010353550236.52", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010353550236.52"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "https://doi.org/10.1016/j.jfa.2005.06.005", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1002231099"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1112/jlms/jdq072", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1002320672"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1002/cpa.10094", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1002893619"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1090/s0002-9939-07-08813-2", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1004806885"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf02880360", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1010789907", 
          "https://doi.org/10.1007/bf02880360"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf02880360", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1010789907", 
          "https://doi.org/10.1007/bf02880360"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1112/jlms/s1-8.3.227", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1013628080"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1080/03605300500530446", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1023144101"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1090/s0273-0979-2011-01368-4", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1035694703"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf02384339", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1037716487", 
          "https://doi.org/10.1007/bf02384339"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf02392564", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1048840617", 
          "https://doi.org/10.1007/bf02392564"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1115/1.3424338", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1062120383"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1137/0515012", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1062847578"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1215/00127094-2010-053", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1064411262"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1512/iumj.2010.59.4395", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1067514001"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.4171/jems/134", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1072317709"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.4171/rmi/337", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1072320632"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.4310/mrl.2006.v13.n3.a8", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1072462452"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.4310/mrl.2008.v15.n5.a10", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1072462651"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.24033/asens.2221", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1084408579"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2016-09", 
    "datePublishedReg": "2016-09-01", 
    "description": "We give a new proof of the L2 version of Hardy\u2019s uncertainty principle based on calculus and on its dynamical version for the heat equation. The reasonings rely on new log-convexity properties and the derivation of optimal Gaussian decay bounds for solutions to the heat equation with Gaussian decay at a future time.We extend the result to heat equations with lower order variable coefficient.", 
    "genre": "research_article", 
    "id": "sg:pub.10.1007/s00220-015-2500-z", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": true, 
    "isFundedItemOf": [
      {
        "id": "sg:grant.3111728", 
        "type": "MonetaryGrant"
      }, 
      {
        "id": "sg:grant.3483133", 
        "type": "MonetaryGrant"
      }
    ], 
    "isPartOf": [
      {
        "id": "sg:journal.1136216", 
        "issn": [
          "0010-3616", 
          "1432-0916"
        ], 
        "name": "Communications in Mathematical Physics", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "2", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "346"
      }
    ], 
    "name": "Hardy Uncertainty Principle, Convexity and Parabolic Evolutions", 
    "pagination": "667-678", 
    "productId": [
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "4cefb518427168a60414b31dd6bdf506731517b90e87ec091c5e4fa40d8c6617"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/s00220-015-2500-z"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1016146909"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1007/s00220-015-2500-z", 
      "https://app.dimensions.ai/details/publication/pub.1016146909"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2019-04-10T15:51", 
    "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
    "sdPublisher": {
      "name": "Springer Nature - SN SciGraph project", 
      "type": "Organization"
    }, 
    "sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000001_0000000264/records_8664_00000511.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "http://link.springer.com/10.1007%2Fs00220-015-2500-z"
  }
]
 

Download the RDF metadata as:  json-ld nt turtle xml License info

HOW TO GET THIS DATA PROGRAMMATICALLY:

JSON-LD is a popular format for linked data which is fully compatible with JSON.

curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/s00220-015-2500-z'

N-Triples is a line-based linked data format ideal for batch operations.

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/s00220-015-2500-z'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s00220-015-2500-z'

RDF/XML is a standard XML format for linked data.

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s00220-015-2500-z'


 

This table displays all metadata directly associated to this object as RDF triples.

152 TRIPLES      21 PREDICATES      46 URIs      19 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/s00220-015-2500-z schema:about anzsrc-for:09
2 anzsrc-for:0915
3 schema:author Nb986654f30f949de85231a6714b6f129
4 schema:citation sg:pub.10.1007/bf02384339
5 sg:pub.10.1007/bf02392564
6 sg:pub.10.1007/bf02880360
7 https://doi.org/10.1002/cpa.10094
8 https://doi.org/10.1016/j.jfa.2005.06.005
9 https://doi.org/10.1080/03605300500530446
10 https://doi.org/10.1090/s0002-9939-07-08813-2
11 https://doi.org/10.1090/s0273-0979-2011-01368-4
12 https://doi.org/10.1112/jlms/jdq072
13 https://doi.org/10.1112/jlms/s1-8.3.227
14 https://doi.org/10.1115/1.3424338
15 https://doi.org/10.1137/0515012
16 https://doi.org/10.1215/00127094-2010-053
17 https://doi.org/10.1512/iumj.2010.59.4395
18 https://doi.org/10.24033/asens.2221
19 https://doi.org/10.4171/jems/134
20 https://doi.org/10.4171/rmi/337
21 https://doi.org/10.4310/mrl.2006.v13.n3.a8
22 https://doi.org/10.4310/mrl.2008.v15.n5.a10
23 schema:datePublished 2016-09
24 schema:datePublishedReg 2016-09-01
25 schema:description We give a new proof of the L2 version of Hardy’s uncertainty principle based on calculus and on its dynamical version for the heat equation. The reasonings rely on new log-convexity properties and the derivation of optimal Gaussian decay bounds for solutions to the heat equation with Gaussian decay at a future time.We extend the result to heat equations with lower order variable coefficient.
26 schema:genre research_article
27 schema:inLanguage en
28 schema:isAccessibleForFree true
29 schema:isPartOf Na96dcdc167024c0eac67cba1152818a0
30 Nf43d192a3e6141e49baf6f512e94d22e
31 sg:journal.1136216
32 schema:name Hardy Uncertainty Principle, Convexity and Parabolic Evolutions
33 schema:pagination 667-678
34 schema:productId N0b84c3c0084f495bbe572dea5be42599
35 N59334bbcaa044c58949e713c24c40b8b
36 Nf94b42a165094009af58d8042bed5bdb
37 schema:sameAs https://app.dimensions.ai/details/publication/pub.1016146909
38 https://doi.org/10.1007/s00220-015-2500-z
39 schema:sdDatePublished 2019-04-10T15:51
40 schema:sdLicense https://scigraph.springernature.com/explorer/license/
41 schema:sdPublisher N4f719dafeb674d4faa36fa7cb42b00ae
42 schema:url http://link.springer.com/10.1007%2Fs00220-015-2500-z
43 sgo:license sg:explorer/license/
44 sgo:sdDataset articles
45 rdf:type schema:ScholarlyArticle
46 N0b84c3c0084f495bbe572dea5be42599 schema:name dimensions_id
47 schema:value pub.1016146909
48 rdf:type schema:PropertyValue
49 N4f719dafeb674d4faa36fa7cb42b00ae schema:name Springer Nature - SN SciGraph project
50 rdf:type schema:Organization
51 N59334bbcaa044c58949e713c24c40b8b schema:name readcube_id
52 schema:value 4cefb518427168a60414b31dd6bdf506731517b90e87ec091c5e4fa40d8c6617
53 rdf:type schema:PropertyValue
54 N9cdb0c0c08964b97bd7ca9b69d4a6e15 rdf:first sg:person.011310113454.49
55 rdf:rest Nd26dfc2667594d43a68ec5426f9f828f
56 Na96dcdc167024c0eac67cba1152818a0 schema:volumeNumber 346
57 rdf:type schema:PublicationVolume
58 Nad368b839c994c7d98c17f0fb79ca486 rdf:first sg:person.016330172727.14
59 rdf:rest N9cdb0c0c08964b97bd7ca9b69d4a6e15
60 Nb986654f30f949de85231a6714b6f129 rdf:first sg:person.011107432025.24
61 rdf:rest Nad368b839c994c7d98c17f0fb79ca486
62 Nd26dfc2667594d43a68ec5426f9f828f rdf:first sg:person.010353550236.52
63 rdf:rest rdf:nil
64 Nf43d192a3e6141e49baf6f512e94d22e schema:issueNumber 2
65 rdf:type schema:PublicationIssue
66 Nf94b42a165094009af58d8042bed5bdb schema:name doi
67 schema:value 10.1007/s00220-015-2500-z
68 rdf:type schema:PropertyValue
69 anzsrc-for:09 schema:inDefinedTermSet anzsrc-for:
70 schema:name Engineering
71 rdf:type schema:DefinedTerm
72 anzsrc-for:0915 schema:inDefinedTermSet anzsrc-for:
73 schema:name Interdisciplinary Engineering
74 rdf:type schema:DefinedTerm
75 sg:grant.3111728 http://pending.schema.org/fundedItem sg:pub.10.1007/s00220-015-2500-z
76 rdf:type schema:MonetaryGrant
77 sg:grant.3483133 http://pending.schema.org/fundedItem sg:pub.10.1007/s00220-015-2500-z
78 rdf:type schema:MonetaryGrant
79 sg:journal.1136216 schema:issn 0010-3616
80 1432-0916
81 schema:name Communications in Mathematical Physics
82 rdf:type schema:Periodical
83 sg:person.010353550236.52 schema:affiliation https://www.grid.ac/institutes/grid.11480.3c
84 schema:familyName Vega
85 schema:givenName L.
86 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010353550236.52
87 rdf:type schema:Person
88 sg:person.011107432025.24 schema:affiliation https://www.grid.ac/institutes/grid.11480.3c
89 schema:familyName Escauriaza
90 schema:givenName L.
91 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011107432025.24
92 rdf:type schema:Person
93 sg:person.011310113454.49 schema:affiliation https://www.grid.ac/institutes/grid.133342.4
94 schema:familyName Ponce
95 schema:givenName G.
96 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011310113454.49
97 rdf:type schema:Person
98 sg:person.016330172727.14 schema:affiliation https://www.grid.ac/institutes/grid.170205.1
99 schema:familyName Kenig
100 schema:givenName C. E.
101 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016330172727.14
102 rdf:type schema:Person
103 sg:pub.10.1007/bf02384339 schema:sameAs https://app.dimensions.ai/details/publication/pub.1037716487
104 https://doi.org/10.1007/bf02384339
105 rdf:type schema:CreativeWork
106 sg:pub.10.1007/bf02392564 schema:sameAs https://app.dimensions.ai/details/publication/pub.1048840617
107 https://doi.org/10.1007/bf02392564
108 rdf:type schema:CreativeWork
109 sg:pub.10.1007/bf02880360 schema:sameAs https://app.dimensions.ai/details/publication/pub.1010789907
110 https://doi.org/10.1007/bf02880360
111 rdf:type schema:CreativeWork
112 https://doi.org/10.1002/cpa.10094 schema:sameAs https://app.dimensions.ai/details/publication/pub.1002893619
113 rdf:type schema:CreativeWork
114 https://doi.org/10.1016/j.jfa.2005.06.005 schema:sameAs https://app.dimensions.ai/details/publication/pub.1002231099
115 rdf:type schema:CreativeWork
116 https://doi.org/10.1080/03605300500530446 schema:sameAs https://app.dimensions.ai/details/publication/pub.1023144101
117 rdf:type schema:CreativeWork
118 https://doi.org/10.1090/s0002-9939-07-08813-2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1004806885
119 rdf:type schema:CreativeWork
120 https://doi.org/10.1090/s0273-0979-2011-01368-4 schema:sameAs https://app.dimensions.ai/details/publication/pub.1035694703
121 rdf:type schema:CreativeWork
122 https://doi.org/10.1112/jlms/jdq072 schema:sameAs https://app.dimensions.ai/details/publication/pub.1002320672
123 rdf:type schema:CreativeWork
124 https://doi.org/10.1112/jlms/s1-8.3.227 schema:sameAs https://app.dimensions.ai/details/publication/pub.1013628080
125 rdf:type schema:CreativeWork
126 https://doi.org/10.1115/1.3424338 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062120383
127 rdf:type schema:CreativeWork
128 https://doi.org/10.1137/0515012 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062847578
129 rdf:type schema:CreativeWork
130 https://doi.org/10.1215/00127094-2010-053 schema:sameAs https://app.dimensions.ai/details/publication/pub.1064411262
131 rdf:type schema:CreativeWork
132 https://doi.org/10.1512/iumj.2010.59.4395 schema:sameAs https://app.dimensions.ai/details/publication/pub.1067514001
133 rdf:type schema:CreativeWork
134 https://doi.org/10.24033/asens.2221 schema:sameAs https://app.dimensions.ai/details/publication/pub.1084408579
135 rdf:type schema:CreativeWork
136 https://doi.org/10.4171/jems/134 schema:sameAs https://app.dimensions.ai/details/publication/pub.1072317709
137 rdf:type schema:CreativeWork
138 https://doi.org/10.4171/rmi/337 schema:sameAs https://app.dimensions.ai/details/publication/pub.1072320632
139 rdf:type schema:CreativeWork
140 https://doi.org/10.4310/mrl.2006.v13.n3.a8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1072462452
141 rdf:type schema:CreativeWork
142 https://doi.org/10.4310/mrl.2008.v15.n5.a10 schema:sameAs https://app.dimensions.ai/details/publication/pub.1072462651
143 rdf:type schema:CreativeWork
144 https://www.grid.ac/institutes/grid.11480.3c schema:alternateName University of the Basque Country
145 schema:name Dpto. de Matemáticas, UPV/EHU, Apto. 644, 48080, Bilbao, Spain
146 rdf:type schema:Organization
147 https://www.grid.ac/institutes/grid.133342.4 schema:alternateName University of California, Santa Barbara
148 schema:name Department of Mathematics, University of California, 93106, Santa Barbara, CA, USA
149 rdf:type schema:Organization
150 https://www.grid.ac/institutes/grid.170205.1 schema:alternateName University of Chicago
151 schema:name Department of Mathematics, University of Chicago, 60637, Chicago, IL, USA
152 rdf:type schema:Organization
 




Preview window. Press ESC to close (or click here)


...