Blowing up at zero points of potential for an initial boundary value problem

Blowing up Solution of Initial-Boundary Value Problem for a Kind of Nonlinear Evolution Equations

This dissertation is to discuss the initial-boundary value problem under the third nonlinear boundary condition for a kind of nonlinear evolution equations. To apply the maximum value theory and convex functional method£it is proved that the blowing up of solution in the definite time under some assumed conditions. The conclusion popularizes the results of references [Zhongwei Zha(2003)-Zhongwe...

Blow-up of solution of an initial boundary value problem for a generalized Camassa-Holm equation

In this paper, we study the following initial boundary value problem for a generalized Camassa-Holm equation

Initial-Boundary Value Problem for Hyperbolic Equations

where Ji = 0 for x0 < 0. The problem is to find necessary and sufficient conditions on B(x, B) such that the initial-boundary value problem (1), (2), (3) is well-posed. Note that all theorems that a;re formulated below will also apply to the case when (1) is a general hyperbolic equation or a hyperbolic system of equations of arbitrary order provided that all components of the characteristic co...

An initial - boundary - value problem for the Korteweg -

An analytic solution for a non-local initial-boundary value problem including a partial differential equation with variable coefficients

‎This paper considers a non-local initial-boundary value problem containing a first order partial differential equation with variable coefficients‎. ‎At first‎, ‎the non-self-adjoint spectral problem is derived‎. ‎Then its adjoint problem is calculated‎. ‎After that‎, ‎for the adjoint problem the associated eigenvalues and the subsequent eigenfunctions are determined‎. ‎Finally the convergence ...