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Propagation Property for Nonlinear Parabolic Equations of p-Laplacian-Type1

http://hdl.handle.net/20.500.12678/0000000845
94e882fa-e9d9-4e92-aaa4-6ae24b1e95c4
fe4a8165-2de1-469f-a8ba-a66779582704
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Propagation Propagation property for Nonlinear Parabolic Equations of p- Laplacian Type.pdf (246 Kb)
Publication type
Journal article
Upload type
Publication
Title
Title Propagation Property for Nonlinear Parabolic Equations of p-Laplacian-Type1
Language en
Publication date 2009
Authors
Than Sint Khin
Ning Su
Description
We study propagation property for one-dimensional nonlinear
diffusion equations with convection-absorption, including the prototype model
∂t(um) − ∂x(|∂xu|p−1∂xu) − μ|∂xu|q−1∂xu + λuk = 0,
where m, p, q, k > 0, and n-dimensional simplified variant
∂t(um) − Δp+1u = 0,
where Δp+1u = div (|∇u|p−1∇u). Among the conclusions, we make complete
classification of the parameters in the first equation to distinguish its propagation
property. For the second equation we rigorously prove that perturbation
of the nonnegative solutions propagates at finite speed if and only if m < p.
Keywords
propagation
Identifier https://umoar.mu.edu.mm/handle/123456789/281
Journal articles
12
Int. Journal of Math. Analysis
3
Conference papaers
Books/reports/chapters
Thesis/dissertations
0
0
views
downloads
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