ON REGULARITY OF THE TIME DERIVATIVE FOR DEGENERATE PARABOLIC SYSTEMS

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F15%3A10335699" target="_blank" >RIV/00216208:11320/15:10335699 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1137/141000725" target="_blank" >http://dx.doi.org/10.1137/141000725</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1137/141000725" target="_blank" >10.1137/141000725</a>

Result language

angličtina

Original language name

ON REGULARITY OF THE TIME DERIVATIVE FOR DEGENERATE PARABOLIC SYSTEMS

Original language description

We prove regularity estimates for time derivatives of a large class of nonlinear parabolic partial differential systems. This includes the instationary (symmetric) p-Laplace system and models for non-Newtonian fluids of powerlaw or Carreau type. By the use of special weak different quotients adapted to the variational structure we bound fractional derivatives of ut in time and space directions. Although the estimates presented here are valid under very general assumptions they are a novelty even for the parabolic p-Laplace equation.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

—

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2015

Confidentiality

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

Name of the periodical

SIAM Journal on Mathematical Analysis

ISSN

0036-1410

e-ISSN

—

Volume of the periodical

47

Issue of the periodical within the volume

5

Country of publishing house

US - UNITED STATES

Number of pages

27

Pages from-to

3917-3943

UT code for WoS article

000364455500020

EID of the result in the Scopus database

2-s2.0-84947484161