LARGE TIME BEHAVIOR OF THE SOLUTIONS OF NONLINEAR DEGENERATE DIFFUSION EQUATIONS

Tao Luo Tao; Xiao Ling

doi:10.1016/S0252-9602(18)30203-0

LARGE TIME BEHAVIOR OF THE SOLUTIONS OF NONLINEAR DEGENERATE DIFFUSION EQUATIONS

Luo Tao
, Xiao Ling

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

Abstract

A class of nonlinear degenerate diffusion equations is investigated in this paper. It is shown that the solutions converge to the corresponding similar solutions as t→+∞. The rate of the convergence in L¹-norm and L^∞-norm are obtained respectively.

Original language	English
Pages (from-to)	167-179
Journal	Acta Mathematica Scientia. Series B
Volume	13
Issue number	2
DOIs	https://doi.org/10.1016/S0252-9602(18)30203-0
Publication status	Published - 1993
Externally published	Yes

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title = "LARGE TIME BEHAVIOR OF THE SOLUTIONS OF NONLINEAR DEGENERATE DIFFUSION EQUATIONS",

abstract = "A class of nonlinear degenerate diffusion equations is investigated in this paper. It is shown that the solutions converge to the corresponding similar solutions as t→+∞. The rate of the convergence in L1-norm and L∞-norm are obtained respectively. ",

author = "\{Luo Tao\} and \{Xiao Ling\}",

year = "1993",

doi = "10.1016/S0252-9602(18)30203-0",

language = "English",

volume = "13",

pages = "167--179",

journal = "Acta Mathematica Scientia. Series B",

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TY - JOUR

T1 - LARGE TIME BEHAVIOR OF THE SOLUTIONS OF NONLINEAR DEGENERATE DIFFUSION EQUATIONS

AU - Luo Tao, null

AU - Xiao Ling, null

PY - 1993

Y1 - 1993

N2 - A class of nonlinear degenerate diffusion equations is investigated in this paper. It is shown that the solutions converge to the corresponding similar solutions as t→+∞. The rate of the convergence in L1-norm and L∞-norm are obtained respectively.

AB - A class of nonlinear degenerate diffusion equations is investigated in this paper. It is shown that the solutions converge to the corresponding similar solutions as t→+∞. The rate of the convergence in L1-norm and L∞-norm are obtained respectively.

U2 - 10.1016/S0252-9602(18)30203-0

DO - 10.1016/S0252-9602(18)30203-0

M3 - RGC 21 - Publication in refereed journal

SN - 0252-9602

VL - 13

SP - 167

EP - 179

JO - Acta Mathematica Scientia. Series B

JF - Acta Mathematica Scientia. Series B

IS - 2

ER -

LARGE TIME BEHAVIOR OF THE SOLUTIONS OF NONLINEAR DEGENERATE DIFFUSION EQUATIONS

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