Global Existence Or Blow-Up Of Solutions For Some Nonlinear Parabolic Equations In A Bounded Domain

This paper in-depth study a kind of nonlinear partial differential equations with null dirichlet boundary conditions in a bounded domainΩ? RN. We establish local theory of the solution and obtain that under certain conditions the solution of equations exists globally or blows up in finite time.Specifically, the following equation outer normal on ?Ω.When one of the following assumptions establishes: fully small; sufficiently large;The solution of equations (1.1)-(1.3) exists globally.When one of the following assumptions establishes: sufficiently large; sufficiently large.The solution of equations (1.1)-(1.3) blows up in finite time...