EXPONENTIAL DECAY FOR QUASILINEAR PARABOLIC EQUATIONS IN ANY DIMENSION

Sun, Jian-Wen; Kim, Seonghak

doi:10.3934/dcdsb.2021280

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EXPONENTIAL DECAY FOR QUASILINEAR PARABOLIC EQUATIONS IN ANY DIMENSION

Sun, Jian-Wen;
Kim, Seonghak

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초록

We estimate decay rates of solutions to the initial-boundary value problem for a class of quasilinear parabolic equations in any dimension. Such decay rates depend only on the constitutive relations, spatial domain, and range of the initial function.

키워드

  Quasilinear parabolic equations; exponential decay; maximum princi-ple; comparison principle; principal eigenvalue; super and subsolutions; BLOW-UP; CONVERGENCE; BOUNDS; EQUILIBRIUM

제목: EXPONENTIAL DECAY FOR QUASILINEAR PARABOLIC EQUATIONS IN ANY DIMENSION

저자: Sun, Jian-Wen; Kim, Seonghak

DOI: 10.3934/dcdsb.2021280

발행일: 2022-10

유형: Article

저널명: Discrete and Continuous Dynamical Systems - Series B

권: 27

호: 10

페이지: 5411 ~ 5418

언어: ENG

출판사: AMER INST MATHEMATICAL SCIENCES-AIMS

발행국가: 미국

분량: 8 페이지

ISSN: E 1553-524X
P 1531-3492