Bistable equation with discontinuous density dependent diffusion with degenerations and singularities
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F21%3A43962393" target="_blank" >RIV/49777513:23520/21:43962393 - isvavai.cz</a>
Result on the web
<a href="http://www.math.u-szeged.hu/ejqtde/p9274.pdf" target="_blank" >http://www.math.u-szeged.hu/ejqtde/p9274.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.14232/ejqtde.2021.1.61" target="_blank" >10.14232/ejqtde.2021.1.61</a>
Alternative languages
Result language
angličtina
Original language name
Bistable equation with discontinuous density dependent diffusion with degenerations and singularities
Original language description
In this article we introduce rather general notion of the stationary solution of the bistable equation which allows to treat discontinuous density dependent diffusion term with singularities and degenerations, as well as degenerate or non-Lipschitz balanced bistable reaction term. We prove the existence of new-type solutions which do not occur in case of the ``classical'' setting of the bistable equation. In the case of the power-type behavior of the diffusion and bistable reaction terms near the equilibria we provide detailed asymptotic analysis of the corresponding solutions and illustrate the lack of smoothness due to the discontinuous diffusion.
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
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Electronic Journal of Qualitative Theory of Differential Equations
ISSN
1417-3875
e-ISSN
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Volume of the periodical
2021
Issue of the periodical within the volume
61
Country of publishing house
HU - HUNGARY
Number of pages
16
Pages from-to
1-16
UT code for WoS article
000697310600001
EID of the result in the Scopus database
2-s2.0-85115764882