C∞-solutions of some degenerate parabolic equations

Mitsuharu Otani; Y. Sugiyama

doi:10.1016/S0362-546X(01)00434-5

C^∞-solutions of some degenerate parabolic equations

Research output: Contribution to journal › Article

Abstract

The existence of time local smooth solutions of (P) in higher dimensions is analyzed. A time local solution which is smooth with respect to time and space variables is constructed. Thus, the existence of time local solutions for the porous medium equations is proven.

Original language	English
Pages (from-to)	3171-3181
Number of pages	11
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	47
Issue number	5
DOIs	https://doi.org/10.1016/S0362-546X(01)00434-5
Publication status	Published - 2001 Aug

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Keywords

Porous medium equation
Quasilinear parabolic equations
Smooth solutions
Time local solutions

ASJC Scopus subject areas

Analysis
Applied Mathematics
Mathematics(all)

Cite this

Otani, M., & Sugiyama, Y. (2001). C^∞-solutions of some degenerate parabolic equations. Nonlinear Analysis, Theory, Methods and Applications, 47(5), 3171-3181. https://doi.org/10.1016/S0362-546X(01)00434-5

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Access to Document

10.1016/S0362-546X(01)00434-5