# American Institute of Mathematical Sciences

doi: 10.3934/dcdsb.2021280
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## Exponential decay for quasilinear parabolic equations in any dimension

 1 School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, China 2 Department of Mathematics, College of Natural Sciences, Kyungpook National University, Daegu 41566, Republic of Korea

* Corresponding author

Received  September 2021 Early access November 2021

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.

Citation: Jian-Wen Sun, Seonghak Kim. Exponential decay for quasilinear parabolic equations in any dimension. Discrete & Continuous Dynamical Systems - B, doi: 10.3934/dcdsb.2021280
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