Global Existence and Blow-Up for a Class of Degenerate Parabolic Systems with Localized Source
نویسندگان
چکیده
This paper deals with a class of localized and degenerate quasilinear parabolic systems ut = f (u)( u+ av(x0, t)), vt = g(v)( v + bu(x0, t)) with homogeneous Dirichlet boundary conditions. Local existence of positive classical solutions is proven by using the method of regularization. Global existence and blow-up criteria are also obtained. Moreover, the authors prove that under certain conditions, the solutions have global blow-up property.
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