C∞-solutions of some degenerate parabolic equations

M. Ôtani; Y. Sugiyama

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

C^∞-solutions of some degenerate parabolic equations

M. Ôtani, Y. Sugiyama

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 - Aug 2001

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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

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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.",

author = "M. {\^O}tani and Y. Sugiyama",

year = "2001",

month = aug,

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

language = "English",

volume = "47",

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

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T1 - C∞-solutions of some degenerate parabolic equations

AU - Ôtani, M.

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.

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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

SN - 0362-546X

VL - 47

SP - 3171

EP - 3181

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 5

ER -

C^∞-solutions of some degenerate parabolic equations

Abstract

All Science Journal Classification (ASJC) codes

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