Regularity problem for one class of nonlinear parabolic systems with non-smooth in time principal matrices

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F19%3A10408347" target="_blank" >RIV/00216208:11320/19:10408347 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=de-GbY.TKB" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=de-GbY.TKB</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.14712/1213-7243.2019.010" target="_blank" >10.14712/1213-7243.2019.010</a>

Result language
angličtina
Original language name
Regularity problem for one class of nonlinear parabolic systems with non-smooth in time principal matrices
Original language description
Partial regularity of solutions to a class of second order nonlinear parabolic systems with non-smooth in time principal matrices is proved in the paper. The coefficients are assumed to be measurable and bounded in the time variable and VMO-smooth in the space variables uniformly with respect to time. To prove the result, we apply the so-called A(t)-caloric approximation method. The method was applied by the authors earlier to study regularity of quasilinear systems.
Czech name
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Czech description
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Type
J<sub>imp</sub> - 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
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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