Research On The Global Existence And Blow-up Properties Of Solutions To Two Types Of Quasi-linear Parabolic Equations With Non-local Terms

In this paper,we consider the global existence,blow-up and bounds of solutions of two kinds of nonlinear pseudo-parabolic partial differential equations.In chapter l,we discuss a class of a nonlinear pseudo-parabolic equation with nonlocal sourceIn chapter 2,we consider the initial boundary value problem for a fourth order nonlinear pseudo-parabolic equation with a nonlocal source.where ? is a bounded domain with sufficiently smooth boundary(?)? in Rn(n? 3).T0 is the blow-up time if blow-up does occur,or else T0=? and k(x,y)is an integrable and real valued function which satisfies k(x,y)=k(y,x);???k2(x,y)dxdy<+?;????k(x,y)|u(x,t)|p|u(y,t)|pdxdy>0...