摘要
This paper discusses the Cauchy problem of the equation u_t=▽.(|▽u^m|^(P-2)▽u^m)-u^q with initial datum a measure.Under the assumption of the parameters,one proves the existence and non-existence of the non-negative generalized solution.
This paper discusses the Cauchy problem of the equation u_t=▽.(|▽u^m|^(P-2)▽u^m)-u^q with initial datum a measure.Under the assumption of the parameters,one proves the existence and non-existence of the non-negative generalized solution.
基金
Supported by the Research Fund for Returned Overseas Chinese Scholars 20010107