On Quasilinear Anisotropic Parabolic Equations with Time-Dependent Exponents
Al. S. Tersenov, Ar. S. Tersenov, Ar. S. Tersenov, Ar. S. Tersenov · Siberian Mathematical Journal · 2020
The Cauchy-Dirichlet problem for the anisotropic parabolic equation with variable exponents in the presence of a nonlinear source and gradient term is considered. We prove the existence and uniqueness of a weak solution that is Lipschitz continuous in the space variables.