以局部有限测度为初值的拟线性退化双曲方程BV解的存在唯一性

EXISTENCE AND UNIQUENESS OF BV SOLUSIONS FOR A QUASILINEAR DEGENERATE HYPERBOLIC EQUATION WITH LOCAL FINITE MEASURES AS INITIAL CONDITIONS

本文讨论了下列拟线性退化双曲方程ut+(?)(u)x=0,以σ-有限的Borel测度为初值条件的Cauchy问题解的存在唯一性,其中在R上是连续的非减的函数.

This paper discusses the existence and uniqueness of the Cauchy problem for a conservation law of the form a degenerate hyperbolic equationut+(?)(u)x = 0,with σ-finite Borel measures as initial condition, where (?) is a continuous nondecreasing function in (-∞,+∞).