EVOLUTIONARY, SYMMETRIC p-LAPLACIAN. INTERIOR REGULARITY OF TIME DERIVATIVES AND ITS CONSEQUENCES

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F16%3A10335251" target="_blank" >RIV/00216208:11320/16:10335251 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.3934/cpaa.2016042" target="_blank" >http://dx.doi.org/10.3934/cpaa.2016042</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3934/cpaa.2016042" target="_blank" >10.3934/cpaa.2016042</a>

Jazyk výsledku

angličtina

Název v původním jazyce

EVOLUTIONARY, SYMMETRIC p-LAPLACIAN. INTERIOR REGULARITY OF TIME DERIVATIVES AND ITS CONSEQUENCES

Popis výsledku v původním jazyce

We consider an evolutionary, non-degenerate, symmetric p-Laplacian. By symmetric we mean that the full gradient of p-Laplacian is replaced by its symmetric part, which causes a breakdown of the Uhlenbeck structure. We derive interior regularity of time derivatives of its local weak solution. To circumvent the space-time growth mismatch, we devise a new local regularity technique of iterations in Nikolskii-Bochner spaces. It is interesting by itself, as it may be modified to provide new regularity results for the full-gradient p-Laplacian case with lower-order dependencies. Finally, having our regularity result for time derivatives, we obtain respective regularity of the main part. The Appendix on Nikolskii-Bochner spaces, that includes theorems on their embeddings and interpolations, may be of independent interest.

Název v anglickém jazyce

EVOLUTIONARY, SYMMETRIC p-LAPLACIAN. INTERIOR REGULARITY OF TIME DERIVATIVES AND ITS CONSEQUENCES

Popis výsledku anglicky

We consider an evolutionary, non-degenerate, symmetric p-Laplacian. By symmetric we mean that the full gradient of p-Laplacian is replaced by its symmetric part, which causes a breakdown of the Uhlenbeck structure. We derive interior regularity of time derivatives of its local weak solution. To circumvent the space-time growth mismatch, we devise a new local regularity technique of iterations in Nikolskii-Bochner spaces. It is interesting by itself, as it may be modified to provide new regularity results for the full-gradient p-Laplacian case with lower-order dependencies. Finally, having our regularity result for time derivatives, we obtain respective regularity of the main part. The Appendix on Nikolskii-Bochner spaces, that includes theorems on their embeddings and interpolations, may be of independent interest.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

—

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2016

Kód důvěrnosti údajů

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

Název periodika

Communications on Pure and Applied Analysis

ISSN

1534-0392

e-ISSN

—

Svazek periodika

15

Číslo periodika v rámci svazku

6

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

45

Strana od-do

2401-2445

Kód UT WoS článku

000389636100019

EID výsledku v databázi Scopus

2-s2.0-84990175582