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dc.contributor.authorDrábek, Pavel
dc.contributor.authorZahradníková, Michaela
dc.date.accessioned2021-10-25T10:00:24Z-
dc.date.available2021-10-25T10:00:24Z-
dc.date.issued2021
dc.identifier.citationDRÁBEK, P. ZAHRADNÍKOVÁ, M. Bistable equation with discontinuous density dependent diffusion with degenerations and singularities. Electronic Journal of Qualitative Theory of Differential Equations, 2021, roč. 2021, č. 61, s. 1-16. ISSN: 1417-3875cs
dc.identifier.issn1417-3875
dc.identifier.uri2-s2.0-85115764882
dc.identifier.urihttp://hdl.handle.net/11025/45526
dc.format16 s.cs
dc.format.mimetypeapplication/pdf
dc.language.isoenen
dc.publisherBolyai Instituteen
dc.publisherUniversity of Szegeden
dc.relation.ispartofseriesElectronic Journal of Qualitative Theory of Differential Equationsen
dc.rights© autořics
dc.titleBistable equation with discontinuous density dependent diffusion with degenerations and singularitiesen
dc.typečlánekcs
dc.typearticleen
dc.rights.accessopenAccessen
dc.type.versionpublishedVersionen
dc.description.abstract-translatedIn 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.en
dc.subject.translateddensity dependent diffusionen
dc.subject.translatedbistable balanced nonlinearityen
dc.subject.translatedasymptotic behavioren
dc.subject.translateddiscontinuous diffusionen
dc.subject.translateddegenerate and singular diffusionen
dc.subject.translateddegenerate non-Lipschitz reactionen
dc.identifier.doi10.14232/ejqtde.2021.1.61
dc.type.statusPeer-revieweden
dc.identifier.document-number697310600001
dc.identifier.obd43933392
dc.project.IDSGS-2019-010/Kvalitativní a kvantitativní studium matematických modelů IV.cs
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OBD

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