On generalized solutions to the wave equation in canonical form

DOI10.4064/dm443-0-1zbMath1195.35195OpenAlexW1986906967MaRDI QIDQ3426782

Victor Dévoué

Publication date: 13 March 2007

Published in: Dissertationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/dm443-0-1

zbMATH Keywords

characteristic Cauchy problemgeneralized Cauchy problemgeneralized Goursat problem

Mathematics Subject Classification ID

Wave equation (35L05) Weak solutions to PDEs (35D30) Initial value problems for second-order hyperbolic equations (35L15) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30)

Related Items (6)

On the Well-posedness of Some generalized Characteristic Cauchy Problems ⋮ Some nonlinear stochastic Cauchy problems with generalized stochastic processes ⋮ Topology and functoriality in \((\mathcal {C, E, P})\)-algebras. Application to singular differential problems ⋮ Generalized solutions of singular differential problems. Relationship with classical solutions ⋮ Generalized Solutions to a Non Lipschitz-Cauchy Problem ⋮ Solving a hyperbolic equation in the first canonical form

This page was built for publication: On generalized solutions to the wave equation in canonical form