On the Well-posedness of Some generalized Characteristic Cauchy Problems

DOI10.1051/mmnp/201611207zbMath1398.35285OpenAlexW2306201698MaRDI QIDQ4607488

Antoine Delcroix, Emmanuel Allaud, Victor Dévoué, Jean-André Marti, Hans Vernaeve

Publication date: 14 March 2018

Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/mmnp/201611207

zbMATH Keywords

distributionstransport equationnonlinear problemsnonlinear generalized functionscharacteristic problemsregularization of dataregularisation of problems

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30) Other special methods applied to PDEs (35A25) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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