On viscosity solutions of irregular Hamilton-Jacobi equations期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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On viscosity solutions of irregular Hamilton-Jacobi equations

Authors:	Email author" target="_blank">T?Str?mberg Email author

Institution:	(1) Department of Mathematics, Luleå University of Technology, 971 87 Luleå, Sweden

Abstract:	It is proved that the initial-value problem for $u_{t} + H(x,\nabla u) = 0$ admits a unique continuous viscosity solution under certain conditions which do not exclude that H(x, p) is discontinuous in x. Particular attention is devoted to the linear transport equation $u_{t} + a(x) \cdot \nabla u = 0$ , where a may be discontinuous. Received: 21 October 2002

Keywords:	35F25 49L25
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