SELF-IMPROVING PROPERTY OF DEGENERATE PARABOLIC EQUATIONS OF POROUS MEDIUM-TYPE
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F19%3A10408332" target="_blank" >RIV/00216208:11320/19:10408332 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=b6FXCUJKzV" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=b6FXCUJKzV</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1353/ajm.2019.0009" target="_blank" >10.1353/ajm.2019.0009</a>
Alternative languages
Result language
angličtina
Original language name
SELF-IMPROVING PROPERTY OF DEGENERATE PARABOLIC EQUATIONS OF POROUS MEDIUM-TYPE
Original language description
We show that the gradient of solutions to degenerate parabolic equations of porous medium-type satisfies a reverse Holder inequality in suitable intrinsic cylinders. We modify the by-now classical Gehring lemma by introducing an intrinsic Calderon-Zygmund covering argument, and we are able to prove local higher integrability of the gradient of a proper power of the solution u.
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
—
Continuities
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
American Journal of Mathematics
ISSN
0002-9327
e-ISSN
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Volume of the periodical
141
Issue of the periodical within the volume
2
Country of publishing house
US - UNITED STATES
Number of pages
48
Pages from-to
399-446
UT code for WoS article
000460615200004
EID of the result in the Scopus database
2-s2.0-85062945060