论文信息 - Existence and non-existence of global solutions to a generalized Modification of the improved Boussinesq equation

Existence and non-existence of global solutions to a generalized Modification of the improved Boussinesq equation

In this paper, the existence, both locally and globally in time, the uniqueness of solutions and the non-existence of global solutions to the initial boundary value problem of a generalized Modification of the Improved Boussinesq equation utt−uxx−uxxtt=σ(u)xx are studied and a few examples are discussed. © 1998 B. G. Teubner Stuttgart—John Wiley & Sons, Ltd.

Yang Zhijian | Yang Zhijian

[1] R. Sachs. On the Blow-up of Certain Solutions of the “Good” Boussinesq Equation , 1990 .

[2] J. Bona,et al. Global existence of smooth solutions and stability of solitary waves for a generalized Boussinesq equation , 1988 .

[3] O. Ladyzhenskaya,et al. The occurrence of collapse for quasilinear equations of parabolic and hyperbolic types , 1978 .

[4] N. Zabusky,et al. Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States , 1965 .

[5] F. Linares. Global Existence of Small Solutions for a Generalized Boussinesq Equation , 1993 .

[6] W. Hrusa. Global Existence and Asymptotic Stability for a Semilinear Hyperbolic Volterra Equation with Large Initial Data , 1985 .

[7] Carlos Tomei,et al. Inverse scattering and the boussinesq equation , 1982 .