First order linear partial differential equations with discontinuous coefficients

DOI10.1007/BF01789480zbMath0474.35081MaRDI QIDQ1159337

Luciano de Simon, Giovanni Torelli

Publication date: 1981

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

existenceuniquenessCauchy problemtransversality conditionscontinuous solution in some weak sense

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs with low regular coefficients and/or low regular data (35R05) Initial value problems for linear first-order PDEs (35F10)

Related Items (2)

Existence and uniqueness of solutions of a mixed problem for a symmetric hyperbolic system with discontinuous coefficients ⋮ On the solutions of first order partial differential equations in sets of finite perimeter with a measure as right side

Cites Work

• Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
• Generlized solutions of linear differential equations with dicontinuous coefficients and the uniqueness question for multidimensional quasilinear conservation laws
• Functional Analysis
• Differential equations with discontinuous right-hand side
• Questions of Existence and Uniqueness for Hyperbolic Equations with Discontinuous Coefficients
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