Ayazoglu, RabilAkkoyunlu, EbubekirNaghizadeh, Zohreh2024-10-042024-10-0420241747-69331747-6941https://doi.org/10.1080/17476933.2024.2345666http://hdl.handle.net/20.500.12403/3300We consider an initial boundary value problem for a class of anisotropic parabolic Ni-Serrin type equations with nonstandard nonlinearity in a bounded smooth domain with homogeneous Dirichlet boundary condition. Because the nonlinear perturbation leads to difficulties (it does not have a definite sign) in obtaining a priori estimates in the energy method, we had to modify the Tartar method significantly. Under suitable assumptions, we obtain the global existence, decay and extinction of solutions.eninfo:eu-repo/semantics/openAccessAnisotropic parabolic Ni-Serrin type equationsvariable exponentsglobal existenceextinction of solutionsdecay estimatesArticle10.1080/17476933.2024.23456662-s2.0-85191685877Q2WOS:001209185700001N/A