一类拟线性双曲方程以测度为初值的BV解

BV Solutions for a Class of Quasilinear Hyperbolic Equations with Measures as Initial Conditions

讨论一类拟线性双曲方程的BV解,给出了当0<p<m,q≥0时,局部BV解的存在惟一性,特别地,证明了当m≤p<m+1,0≤q<p-mm-1时,整体BV解的存在惟一性.

The present paper deals with BV solutions for a class of quasilinear hyperbolic equations. The existence and uniqueness of local BV solutions are obtained in the case of 0 〈p 〈 m, q ≥0. In particular, the existence and uniqueness of global BV solutions are obtained in the, case of m≤p〈m＋1,0≤q〈p-m/m-1.