In this paper,we study the initial boundary value problem of pseudo-parabolic p-Laplacian type equation,which be use to model some important physical and biological phenomena.By using the potential well method,we obta...In this paper,we study the initial boundary value problem of pseudo-parabolic p-Laplacian type equation,which be use to model some important physical and biological phenomena.By using the potential well method,we obtain the global existence,asymptotic behavior and blow up results of weak solution with subcritical initial energy.Then we also extend these results to the critical initial energy.展开更多
基金Supported by the National Natural Science Foundation of China(Grant No.11271141).
文摘In this paper,we study the initial boundary value problem of pseudo-parabolic p-Laplacian type equation,which be use to model some important physical and biological phenomena.By using the potential well method,we obtain the global existence,asymptotic behavior and blow up results of weak solution with subcritical initial energy.Then we also extend these results to the critical initial energy.