Admissible solutions for a class of nonlinear parabolic problem with non-negative data.

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F01%3A05025130" target="_blank" >RIV/67985840:_____/01:05025130 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Admissible solutions for a class of nonlinear parabolic problem with non-negative data.
Original language description
We define a new class of admissible solutions for the parabolic problems where the theory of viscosity solutions does not apply. A typical example is the porous medium equation complemented by lower-order terms, nonlinear with respect to the gradient. Inthe case, the nonlinearity in the quation fails to be proper in the sense of the theory of viscosity solutions. The admissible solutions satisfy a very general comparison principle and, consequently, the corresponding initial-boundary value problems are....
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
<a href="/en/project/IAA1019703" target="_blank" >IAA1019703: Mathematical aspects of energy dissipation in nonlinear systems</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2001
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical
Proceedings of the Royal Society of Edinburgh. Section A - Mathematics
ISSN
0308-2105
e-ISSN
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Volume of the periodical
131
Issue of the periodical within the volume
5
Country of publishing house
GB - UNITED KINGDOM
Number of pages
27
Pages from-to
857-883
UT code for WoS article
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EID of the result in the Scopus database
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