Open AccessExponential decay for quasilinear parabolic equations in any dimension
Author(s) -
JianWen Sun,
Seonghak Kim
Publication year - 2022
Publication title -
discrete and continuous dynamical systems. series b
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.864
H-Index - 53
eISSN - 1553-524X
pISSN - 1531-3492
DOI - 10.3934/dcdsb.2021280
Subject(s) - exponential decay , dimension (graph theory) , exponential growth , mathematical analysis , mathematics , parabolic partial differential equation , domain (mathematical analysis) , exponential function , function (biology) , boundary value problem , initial value problem , range (aeronautics) , class (philosophy) , physics , partial differential equation , pure mathematics , materials science , quantum mechanics , computer science , evolutionary biology , artificial intelligence , composite material , biology
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.