Existence results for anisotropic quasilinear parabolic equations with time-dependent exponents and gradient term

[摘要] The Cauchy-Dirichlet problem for anisotropic parabolic equation with time dependent exponents and gradient term is considered. We state conditions that guarantee the existence and uniqueness of a viscosity solution which is Lipschitz continuous in the space variables and Holder continuous in time. (C) 2019 Elsevier Inc. All rights reserved.

[发布日期] 2019-12-01

[关键词] Boundary value problems;Anisotropic equations;A priori estimates;Viscosity solutions