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

Result code in 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>
Result on the web
<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>

Result language
angličtina
Original language name
EVOLUTIONARY, SYMMETRIC p-LAPLACIAN. INTERIOR REGULARITY OF TIME DERIVATIVES AND ITS CONSEQUENCES
Original language description
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.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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