We study the large time behavior of the solution to the initial value problem for a nonlinear pseudoparabolic equation with strong nonlinear terms. The Fourier transform, integral estimate, and the splitting of the fr...We study the large time behavior of the solution to the initial value problem for a nonlinear pseudoparabolic equation with strong nonlinear terms. The Fourier transform, integral estimate, and the splitting of the frequency domain are used.展开更多
In this paper, we study the existence and uniqueness of the global generalized solution and strong solution of the initial-boundary value problem and the corresponding initial value problem for the nonlinear pseudopar...In this paper, we study the existence and uniqueness of the global generalized solution and strong solution of the initial-boundary value problem and the corresponding initial value problem for the nonlinear pseudoparabolic equation in arbitrary dimensions Besides, the smoothness, asymptotic behaviors and blow-up of the solutions are also discussed.The results not only include but also improve and generalize the main results concerning this class of equations.展开更多
文摘We study the large time behavior of the solution to the initial value problem for a nonlinear pseudoparabolic equation with strong nonlinear terms. The Fourier transform, integral estimate, and the splitting of the frequency domain are used.
文摘In this paper, we study the existence and uniqueness of the global generalized solution and strong solution of the initial-boundary value problem and the corresponding initial value problem for the nonlinear pseudoparabolic equation in arbitrary dimensions Besides, the smoothness, asymptotic behaviors and blow-up of the solutions are also discussed.The results not only include but also improve and generalize the main results concerning this class of equations.
