一类带有有界函数系数的双曲型方程的BV解的存在惟一性

Existence and Uniqueness of BV Solutions for a Class of Quasi-linear Hyperbolic Equations with Bounded Coefficient-function

讨论一阶拟线性退化双曲方程ut＋（um）x=-ν（x）u^p,以σ-有限Borel测度为初始函数的Cauchy问题.其中m〉1,0〈p〈m是给定常数,ν（x）在R上是非负有界的函数.

We consider the Cauchy problem for a class of quasi-linear hyperbolic equations of the form ut ＋ （ u^m ） x = - v （ x ） u^p with a- finite radon measures as initial conditions. Where m 〉 1,0 〈 p 〈 m and v （ x ） is a non-negative bounded coefficient function.