Existence and Uniqueness of the Solution for the Evolutionary p-Laplacian System with Absorptions
Huilai Li · Journal of Jilin University(Science Edition) · 2008
The existence and uniqueness of weak solutions for the Cauchy problem of an evolutionary p-Laplacian systems were investigated.The exsitence was obtained by virtue of the parabolic regularized method.Owing to the difficulty of the comparison between the two solutions of the system consided,we combined the enery method with the decay method to reduce our problem to the scalar case,so as to establish the uniqueness of solution.