摘要
The aim of this paper is to discuss some degenerate hyperbolic equation ut＋φ（u）x=0.where φ∈C^1（R／{0}）∩C^2（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.
基金
Project supported by the Teaching and Research Award Found for 0utstanding Young Teachers in Higher Education Institutions of M0E, China （No.[2000]26） and supported by the National Natural Science Foundation of China （No.1001015）.
