The initial value problem for a nonlinear nonuniform parabolic equation View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1987-12

AUTHORS

Gustavo Ponce

ABSTRACT

The initial value problem for a nonlinear nonuniform parabolic equation is studied The coefficient of the nonlinear term is defined by the operator (−Δ)α/2. The goal is to prove the global existence of a smooth solution for any smooth initial data. Conditions which guarantee the above result are given. They involve the parameter α and the dimension n. More... »

PAGES

17-28

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf01774280

DOI

http://dx.doi.org/10.1007/bf01774280

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1021424144


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/2008/0101", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Pure Mathematics", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/01", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Mathematical Sciences", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "University of Chicago", 
          "id": "https://www.grid.ac/institutes/grid.170205.1", 
          "name": [
            "Dept. of Mathematics, University of Chicago, 60637, Chicago, Ill., USA"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Ponce", 
        "givenName": "Gustavo", 
        "id": "sg:person.011310113454.49", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011310113454.49"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "sg:pub.10.1007/bf02761845", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1035273903", 
          "https://doi.org/10.1007/bf02761845"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01212349", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1038298888", 
          "https://doi.org/10.1007/bf01212349"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01212349", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1038298888", 
          "https://doi.org/10.1007/bf01212349"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bfb0067080", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1048580040", 
          "https://doi.org/10.1007/bfb0067080"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "1987-12", 
    "datePublishedReg": "1987-12-01", 
    "description": "The initial value problem for a nonlinear nonuniform parabolic equation is studied The coefficient of the nonlinear term is defined by the operator (\u2212\u0394)\u03b1/2. The goal is to prove the global existence of a smooth solution for any smooth initial data. Conditions which guarantee the above result are given. They involve the parameter \u03b1 and the dimension n.", 
    "genre": "research_article", 
    "id": "sg:pub.10.1007/bf01774280", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": false, 
    "isPartOf": [
      {
        "id": "sg:journal.1136275", 
        "issn": [
          "0373-3114", 
          "1618-1891"
        ], 
        "name": "Annali di Matematica Pura ed Applicata (1923 -)", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "1", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "148"
      }
    ], 
    "name": "The initial value problem for a nonlinear nonuniform parabolic equation", 
    "pagination": "17-28", 
    "productId": [
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "661315e6eacd33a41892bcd5e10cf8c071d62e5d42c11bc31b2c53aff32d1716"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/bf01774280"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1021424144"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1007/bf01774280", 
      "https://app.dimensions.ai/details/publication/pub.1021424144"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2019-04-11T10:01", 
    "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/v90/0000000347_0000000347/records_89819_00000001.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "http://link.springer.com/10.1007/BF01774280"
  }
]
 

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/bf01774280'

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/bf01774280'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/bf01774280'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/bf01774280'


 

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

73 TRIPLES      21 PREDICATES      30 URIs      19 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/bf01774280 schema:about anzsrc-for:01
2 anzsrc-for:0101
3 schema:author N83ecc3d8344744d7a4cf05e574d902a6
4 schema:citation sg:pub.10.1007/bf01212349
5 sg:pub.10.1007/bf02761845
6 sg:pub.10.1007/bfb0067080
7 schema:datePublished 1987-12
8 schema:datePublishedReg 1987-12-01
9 schema:description The initial value problem for a nonlinear nonuniform parabolic equation is studied The coefficient of the nonlinear term is defined by the operator (−Δ)α/2. The goal is to prove the global existence of a smooth solution for any smooth initial data. Conditions which guarantee the above result are given. They involve the parameter α and the dimension n.
10 schema:genre research_article
11 schema:inLanguage en
12 schema:isAccessibleForFree false
13 schema:isPartOf N30f41c0391384e8791bf691589b2bf5f
14 Na721f4f7029f41efb8eda24ca29a66ae
15 sg:journal.1136275
16 schema:name The initial value problem for a nonlinear nonuniform parabolic equation
17 schema:pagination 17-28
18 schema:productId N1b84e561cf564fe89d05f99373959327
19 N41bd44b78f334060ba8c51306d9d9e7a
20 N5a7dd6b9613f4df48d815655ca1de4e8
21 schema:sameAs https://app.dimensions.ai/details/publication/pub.1021424144
22 https://doi.org/10.1007/bf01774280
23 schema:sdDatePublished 2019-04-11T10:01
24 schema:sdLicense https://scigraph.springernature.com/explorer/license/
25 schema:sdPublisher N2a1868d49fb8458ba35f8a2aef2cf603
26 schema:url http://link.springer.com/10.1007/BF01774280
27 sgo:license sg:explorer/license/
28 sgo:sdDataset articles
29 rdf:type schema:ScholarlyArticle
30 N1b84e561cf564fe89d05f99373959327 schema:name readcube_id
31 schema:value 661315e6eacd33a41892bcd5e10cf8c071d62e5d42c11bc31b2c53aff32d1716
32 rdf:type schema:PropertyValue
33 N2a1868d49fb8458ba35f8a2aef2cf603 schema:name Springer Nature - SN SciGraph project
34 rdf:type schema:Organization
35 N30f41c0391384e8791bf691589b2bf5f schema:issueNumber 1
36 rdf:type schema:PublicationIssue
37 N41bd44b78f334060ba8c51306d9d9e7a schema:name dimensions_id
38 schema:value pub.1021424144
39 rdf:type schema:PropertyValue
40 N5a7dd6b9613f4df48d815655ca1de4e8 schema:name doi
41 schema:value 10.1007/bf01774280
42 rdf:type schema:PropertyValue
43 N83ecc3d8344744d7a4cf05e574d902a6 rdf:first sg:person.011310113454.49
44 rdf:rest rdf:nil
45 Na721f4f7029f41efb8eda24ca29a66ae schema:volumeNumber 148
46 rdf:type schema:PublicationVolume
47 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
48 schema:name Mathematical Sciences
49 rdf:type schema:DefinedTerm
50 anzsrc-for:0101 schema:inDefinedTermSet anzsrc-for:
51 schema:name Pure Mathematics
52 rdf:type schema:DefinedTerm
53 sg:journal.1136275 schema:issn 0373-3114
54 1618-1891
55 schema:name Annali di Matematica Pura ed Applicata (1923 -)
56 rdf:type schema:Periodical
57 sg:person.011310113454.49 schema:affiliation https://www.grid.ac/institutes/grid.170205.1
58 schema:familyName Ponce
59 schema:givenName Gustavo
60 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011310113454.49
61 rdf:type schema:Person
62 sg:pub.10.1007/bf01212349 schema:sameAs https://app.dimensions.ai/details/publication/pub.1038298888
63 https://doi.org/10.1007/bf01212349
64 rdf:type schema:CreativeWork
65 sg:pub.10.1007/bf02761845 schema:sameAs https://app.dimensions.ai/details/publication/pub.1035273903
66 https://doi.org/10.1007/bf02761845
67 rdf:type schema:CreativeWork
68 sg:pub.10.1007/bfb0067080 schema:sameAs https://app.dimensions.ai/details/publication/pub.1048580040
69 https://doi.org/10.1007/bfb0067080
70 rdf:type schema:CreativeWork
71 https://www.grid.ac/institutes/grid.170205.1 schema:alternateName University of Chicago
72 schema:name Dept. of Mathematics, University of Chicago, 60637, Chicago, Ill., USA
73 rdf:type schema:Organization
 




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


...