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

Mitsuharu Otani^*, Y. Sugiyama

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

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

Keywords

Porous medium equation
Quasilinear parabolic equations
Smooth solutions
Time local solutions

ASJC Scopus subject areas

Analysis
Applied Mathematics
Mathematics(all)

Access to Document

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

Cite this

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title = "C∞-solutions of some degenerate parabolic equations",

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.",

keywords = "Porous medium equation, Quasilinear parabolic equations, Smooth solutions, Time local solutions",

author = "Mitsuharu Otani and Y. Sugiyama",

year = "2001",

month = aug,

doi = "10.1016/S0362-546X(01)00434-5",

language = "English",

volume = "47",

pages = "3171--3181",

journal = "Nonlinear Analysis, Theory, Methods and Applications",

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T1 - C∞-solutions of some degenerate parabolic equations

AU - Otani, Mitsuharu

AU - Sugiyama, Y.

PY - 2001/8

Y1 - 2001/8

N2 - 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.

AB - 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.

KW - Porous medium equation

KW - Quasilinear parabolic equations

KW - Smooth solutions

KW - Time local solutions

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U2 - 10.1016/S0362-546X(01)00434-5

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

M3 - Article

AN - SCOPUS:0035418887

VL - 47

SP - 3171

EP - 3181

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

SN - 0362-546X

IS - 5

ER -