一类带有有界函数系数的双曲型方程的BV解

BV solutions to a class of hyperbolic equations with coefficients of bounded functions

讨论了拟线性双曲方程以σ-有限Borel测度为初值的Cauchy问题,通过给出一系列BV解的估计,得到了拟线性双曲方程的BV解的存在唯一性。

The aim is to discuss eanchy problems of the quasilinear hyperbolic equations with σ-finite Borel measures as initial conditions. By some BV estimations of the solutions the existence and uniqueness of BV solutions to the above problem are obtained.