Existence and Decay of Solutions for a Parabolic-Type Kirchhoff Equation with Variable Exponents
Abstract
This paper deals with a parabolic-type Kirchhoff equation with variable exponents. Firstly, we obtain the global existence of solutions by Faedo-Galerkin method. Later, we prove the decay of solutions by Komornik's inequality.
Keywords
Decay, existence, parabolic-type Kirchhoff equation, variable exponent
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