一类非线性双曲方程混合问题的弱解

THE WEAK SOLUT(?)ON FOR A CLASS OF NONLINEAR HYPERBOLIC EQUATIONS

本文讨论了一类非线性双曲型方程u″-△u+|u|(?)u=f具第二边界条件的初边值问题.利用Galerkin方法和紧致性原理,证明了该问题解的存在唯一性定理.

In this paper we discusses the initial boundary value problem for a class of nonlinear hyperbolic equations.Furthermore,the theorrm of the existence and uniqueness of the solution for this problem is proves with the Galerkinan method and compact-ness theory.