Global existence of solution of Cauchy problem for nonlinear pseudo-parabolic equation

Abstract: In this paper, we prove that the Cauchy problem for the nonlinear pseudo-parabolic equation admits a unique global generalized solution in , a unique global classical solution and asymptotic behavior of the solution. We also prove that the Cauchy problem for the equation has a unique global generalized solution in , a unique global classical solution and asymptotic behavior of the solution. [Copyright &y& Elsevier]