【摘要】 研究一类以Radon测度为初值的拟线性双曲方程组整体BV解的存在性.首先考虑方程组的正则化问题,通过一系列分析,由极限过程得到了正则化问题整体解的存在性,进而得到了正则化问题解的一致BV估计及整体BV解的存在性.更多还原

【Abstract】 The aim of this paper is to discuss the existence of global BV solutions for a class of systems of quasilinear hyperbolic equations with Radon measures as initial conditions.We firstly considered its regularized problem.With the aid of a series of critical analysis and by a limit process,we obtained the existence of global solutions for the regularized problem. In particular,we also obtained the uniform BV estimates for it.Then again,by a limit process,the existence of global BV solutions for the original problem was obtained.更多还原