一维具阻尼非线性双曲型方程Cauchy问题解的爆破

摘要

The existence and uniqueness of the local generalized solution and local classical solution of Cauchy problem for one-dimensional damped nonlinear hyperbolic equation are proved. The sufficient conditions of blow-up of the solution for this problem are given.%证明一维具阻尼非线性双曲型方程Cauchy问题局部广义解和局部古典解的存在性和惟一性,并给出这个问题解爆破的充分条件.