On the Cauchy Problem for Integro-Differential Equations in the Scale of Spaces of Generalized Smoothness View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2019-04

AUTHORS

R. Mikulevičius, C. Phonsom

ABSTRACT

Parabolic integro-differential model Cauchy problem is considered in the scale of Lp -spaces of functions whose regularity is defined by a scalable Levy measure. Existence and uniqueness of a solution is proved by deriving apriori estimates. Some rough probability density function estimates of the associated Levy process are used as well. More... »

PAGES

467-519

References to SciGraph publications

Journal

TITLE

Potential Analysis

ISSUE

3

VOLUME

50

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s11118-018-9690-x

DOI

http://dx.doi.org/10.1007/s11118-018-9690-x

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1101827840


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