Generalized solutions of singular differential problems. Relationship with classical solutions

DOI10.1016/j.jmaa.2008.11.077zbMath1169.35319OpenAlexW2016783388MaRDI QIDQ1014703

Antoine Delcroix, Jean-André Marti, Victor Dévoué

Publication date: 29 April 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.11.077

zbMATH Keywords

wave equationdistributionsnonlinear problemsnonlinear generalized functionscharacteristic problemsregularization of dataregularization of problems

Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20) Nonlinear higher-order PDEs (35G20) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30)

Related Items (7)

Study of nonlinear stochastic Cauchy problems in $(\mathcal{C},\mathcal{E},\mathcal{P})$-algebras ⋮ On the Well-posedness of Some generalized Characteristic Cauchy Problems ⋮ Generalized solution to a non Lipschitz integral equation ⋮ Topology and functoriality in \((\mathcal {C, E, P})\)-algebras. Application to singular differential problems ⋮ Multidimensional asymptotic spectral analysis and applications ⋮ Well-posed problems in algebras of generalized functions ⋮ Solving a hyperbolic equation in the first canonical form

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