A Class Of Singular Semilinear Evolution Equations With The Cauchy Problem

Partial differential equations in mathematics has become an important part of many branches of pure mathematics and natural sciences and engineering technology between an important bridge.In science and technology and economic development, a lot of important practical issues need to solve partial differential equations, corresponding to the engineering design to provide the necessary data to ensure safe and reliable and works efficiently to complete the task.Up to now, it has been in partial differential equations to solve the population problem, the dynamics of infectious diseases, high-speed flight, oil development and urban transportation, and other practical issues to make a significant contribution. For the consideration of the practical problems in a reasonable mathematical model, which can accurately describe the problem through the model are given partial differential equations. Therefore, the partial differential equations on the model of qualitative research is very important. This arti'cle focused on a class of singular semi-linear equations solution of the development of the nature of the use of semigroup method of equations of this kind of negative local non-existence of the solution and does not exist, such as the demolition of a number of issues, and given some of the results.