Regularity problem for 2m-order quasilinear parabolic systems with non smooth in time principal matrix. (A(t),m)-caloric approximation method

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F18%3A10409093" target="_blank" >RIV/00216208:11320/18:10409093 - isvavai.cz</a>

Výsledek na webu

<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=Ls._U0f5IE" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=Ls._U0f5IE</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.12775/TMNA.2018.006" target="_blank" >10.12775/TMNA.2018.006</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Regularity problem for 2m-order quasilinear parabolic systems with non smooth in time principal matrix. (A(t),m)-caloric approximation method

Popis výsledku v původním jazyce

Partial regularity of solutions to a class of 2m-order quasilinear parabolic systems and full interior regularity for 2m-order linear parabolic systems with non smooth in time principal matrices is proved in the paper. The coefficients are assumed to be bounded and measurable in the time variable and VMO-smooth in the space variables uniformly with respect to time. To prove the result, we apply the (A(t), m)-caloric approximation method, m &gt;= 1. It is both an extension of the A(t)-caloric approximation applied by the authors earlier to study regularity problem for systems of the second order with non-smooth coefficients and an extension of the Apolycaloric lemma proved by V. Bögelein in [6] to systems of 2m-order.

Název v anglickém jazyce

Regularity problem for 2m-order quasilinear parabolic systems with non smooth in time principal matrix. (A(t),m)-caloric approximation method

Popis výsledku anglicky

Partial regularity of solutions to a class of 2m-order quasilinear parabolic systems and full interior regularity for 2m-order linear parabolic systems with non smooth in time principal matrices is proved in the paper. The coefficients are assumed to be bounded and measurable in the time variable and VMO-smooth in the space variables uniformly with respect to time. To prove the result, we apply the (A(t), m)-caloric approximation method, m &gt;= 1. It is both an extension of the A(t)-caloric approximation applied by the authors earlier to study regularity problem for systems of the second order with non-smooth coefficients and an extension of the Apolycaloric lemma proved by V. Bögelein in [6] to systems of 2m-order.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2018

Kód důvěrnosti údajů

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

Název periodika

Topological Methods in Nonlinear Analysis

ISSN

1230-3429

e-ISSN

—

Svazek periodika

52

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

PL - Polská republika

Počet stran výsledku

36

Strana od-do

111-146

Kód UT WoS článku

000445937900007

EID výsledku v databázi Scopus

2-s2.0-85055143663