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Bui, L.T.T. ; Dao, A. N ; Díaz Díaz, Jesús Ildefonso | Texas State University, Department of Mathematics | 2017We prove the existence of solutions of the viscous Cahn-Hilliard equation in whole domain when the nonlinear term in the second order diffusion grows as uq for the critical case when N > = 3. Our results improve the ones in [9, 12].texto impreso
We consider nonnegative solutions of degenerate parabolic equations with a singular absorption term and a source nonlinear term: partial derivative(t)u - (vertical bar u(x)vertical bar(P-2)u(x))(x) + u(-beta) X{u > 0} = f (u,x,t), in I x (0, T)[...]
