Solving a hyperbolic equation in the first canonical form

DOI10.30755/NSJOM.10867zbMath1484.35147OpenAlexW3049620661MaRDI QIDQ5862357

Victor Dévoué

Publication date: 9 March 2022

Published in: Novi Sad Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.30755/nsjom.10867

zbMATH Keywords

nonlinear partial differential equationsCauchy problemshyperbolic equationsalgebras of generalized functionsregularization of problems

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Weak solutions to PDEs (35D30) Initial value problems for second-order hyperbolic equations (35L15) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30)

Cites Work

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• Generalized solutions of singular differential problems. Relationship with classical solutions
• Topology on asymptotic algebras of generalized functions and applications
• Generalized solutions to a characteristic Cauchy problem
• Well-posed problems in algebras of generalized functions
• Generalized Solutions to a Non Lipschitz-Cauchy Problem
• On generalized solutions to the wave equation in canonical form

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