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YUAN Hongjun, YAN Han, TONG Lining
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Abstract: The aim of this paper is to discuss the existence of global BV solutions for a class of systems of quasilinear hyperbolic equ ations 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.
Key words: systems of quasilinear hyperbolic, Cauchy problem, exi stence
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YUAN Hongjun, YAN Han, TONG Lining. Existence of BV Solutions for a Class of Systems of Quasilinear Hyperbolic Equations with Measures as Initial Conditions[J].J4, 2008, 46(02): 167-172.
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http://xuebao.jlu.edu.cn/lxb/EN/Y2008/V46/I02/167
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