摘要
This paper deals with the problems on the equation in the following three aspects: i) The existence of a continuous weak solution for the Cauchy problem, Cauchy-Dirichlet problem and the first boundary and initial values problem, ii) the uniqneness of the the solutions of the above mentioned three problems, iii) the properties of the solutions. The study on this equation, which has many backgrounds such as the filtrations in porous media as water in soil, is itself important in mathematics as well as in practice.
This paper deals with the problems on the equation in the following three aspects: i) The existence of a continuous weak solution for the Cauchy problem, Cauchy-Dirichlet problem and the first boundary and initial values problem, ii) the uniqneness of the the solutions of the above mentioned three problems, iii) the properties of the solutions. The study on this equation, which has many backgrounds such as the filtrations in porous media as water in soil, is itself important in mathematics as well as in practice.
