Regularity of weak solutions to linear and quasilinear parabolic systems of non-divergence type with non-smooth in time principal matrix: A(t)-caloric method

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10335185" target="_blank" >RIV/00216208:11320/17:10335185 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1515/forum-2015-0222" target="_blank" >http://dx.doi.org/10.1515/forum-2015-0222</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1515/forum-2015-0222" target="_blank" >10.1515/forum-2015-0222</a>

Result language

angličtina

Original language name

Regularity of weak solutions to linear and quasilinear parabolic systems of non-divergence type with non-smooth in time principal matrix: A(t)-caloric method

Original language description

We prove a modification of the so-called A(t)-caloric lemma stated in our earlier work with O. John [1] to study regularity of weak solutions to parabolic systems of non-divergence type with non-smooth in time principal matrices. As an application, we prove smoothness results in Morrey and Campanato spaces for linear parabolic systems of non-divergence type by the A(t)-caloric approximation method.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10101 - Pure mathematics

Project

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2017

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Forum Mathematicum

ISSN

0933-7741

e-ISSN

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Volume of the periodical

29

Issue of the periodical within the volume

5

Country of publishing house

DE - GERMANY

Number of pages

26

Pages from-to

1039-1064

UT code for WoS article

000408650800003

EID of the result in the Scopus database

2-s2.0-85028854681