Reaction diffusion equations with boundary degeneracy

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dc.contributor.authorZhan, Huashui
dc.date.accessioned2023-06-20T18:07:29Z
dc.date.available2023-06-20T18:07:29Z
dc.date.issued2016-03-23
dc.description.abstractIn this article, we consider the reaction diffusion equation ∂u/∂t = ∆A(u), (x, t) ∈ Ω x (0, T), with the homogeneous boundary condition. Inspired by the Fichera-Oleĭnik theory, if the equation is not only strongly degenerate in the interior of Ω, but also degenerate on the boundary, we show that the solution of the equation is free from any limitation of the boundary condition.
dc.description.departmentMathematics
dc.formatText
dc.format.extent13 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationZhan, H. (2016). Reaction diffusion equations with boundary degeneracy. <i>Electronic Journal of Differential Equations, 2016</i>(81), pp. 1-13.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16953
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2016, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectReaction diffusion equation
dc.subjectFichera-Oleinik theory
dc.subjectBoundary condition
dc.subjectDegeneracy
dc.titleReaction diffusion equations with boundary degeneracy
dc.typeArticle

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