Exponential decay for quasilinear parabolic equations in any dimension | Zendy

JianWen Sun | Zendy; Seonghak Kim | Zendy

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Exponential decay for quasilinear parabolic equations in any dimension

Author(s) -

JianWen Sun,

Seonghak Kim

Publication year - 2021

Publication title -

discrete and continuous dynamical systems - 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.

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