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