SOME ENTROPY INEQUALITIES FOR A QUASILINEAR DEGENERATE HYPERBOLIC EQUATION

• 来源期刊: 偏微分方程（英文版）
• 学科: 数学
• 关键词: Quasilinear hyperbolic equations entropy inequality
• 年，卷（期）: 2005,（4）
• 页码范围: 289-303
• 页数: 15页
• 分类号: O175.2
• 语种: 英文

摘要

The aim of this paper is to discuss some degenerate hyperbolic equation ut + ψ(u)x = 0,whereψ∈C1(R\{0})∩C2(R\{0})is a nondecreasing function in R, where R = (-∞, +∞). Some entropy inequalities are obtained and can be applied to study the existence of local BV solutions of the above equation with local finite measures as initial conditions.