On global L-q estimates for systems with p-growth in rough domains
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F19%3A10401795" target="_blank" >RIV/00216208:11320/19:10401795 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=cMp-X5UdKm" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=cMp-X5UdKm</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00526-019-1621-1" target="_blank" >10.1007/s00526-019-1621-1</a>
Alternative languages
Result language
angličtina
Original language name
On global L-q estimates for systems with p-growth in rough domains
Original language description
We study regularity results for nonlinear parabolic systems of p-Laplacian type with inhomogeneous boundary and initial data, with p is an element of(2nn+2,infinity) We show bounds on the gradient of solutions in the Lebesgue-spaces with arbitrary large integrability exponents and natural dependences on the right hand side and the boundary data. In particular, we provide a new proof of the global non-linear Calderon-Zygmund theory for such systems. This extends the global result of Bogelein (Calc Var Partial Differ Equ 51(3-4):555-596, 2014) to very rough domains and more general boundary values. Our method makes use of direct estimates on the solution minus its boundary values and hence is considerably shorter than the available higher integrability results. Technically interesting is the fact that our parabolic estimates have no scaling deficit with respect to the leading order term. Moreover, in the singular case, p is an element of(2nn+2,2]any scaling deficit can be omitted.
Czech name
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Czech description
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Classification
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
Result continuities
Project
<a href="/en/project/LL1202" target="_blank" >LL1202: Implicitly constituted material models: from theory through model reduction to efficient numerical methods</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Calculus of Variations and Partial Differential Equations
ISSN
0944-2669
e-ISSN
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Volume of the periodical
58
Issue of the periodical within the volume
6
Country of publishing house
US - UNITED STATES
Number of pages
27
Pages from-to
185
UT code for WoS article
000489617300002
EID of the result in the Scopus database
2-s2.0-85073557639