This paper presents the global existence and uniqueness of the initial and boundary value problem to a system of evolution p-Laplacian equations coupled with general nonlinear terms. The authors use skills of inequality estimation and themethod of regularization to construct a sequence of approximation solutions, hence obtain the global existence of solutions to a regularized system. Then the global existence of solutions to the system of evolution p-Laplacian equations is obtained with the application of a standard limiting process. The uniqueness of the solution is proven when the nonlinear terms are local Lipschitz continuous.
}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v26.n1.1}, url = {https://global-sci.com/article/88316/global-existence-and-uniqueness-of-solutions-to-evolution-empem-laplacian-systems-with-nonlinear-sources} }