Study of nonlinear wave equation with singular data by using generalized fixed point

DOI10.1007/S10958-023-06249-9OpenAlexW4384038506MaRDI QIDQ6147559

Said Melliani, Abdellah Taqbibt, Mohamed Chaib

Publication date: 1 February 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-023-06249-9

zbMATH Keywords

wave equationfixed pointColombeau algebrageneralized functionscontraction mappings

Mathematics Subject Classification ID

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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• Some remarks on functoriality of Colombeau's construction; topological and microlocal aspects and applications
• Semi-linear wave equations
• Propagation of singularities for non-linear wave equations in one dimension
• Nonlinear Vibrations and the Wave Equation
• Regularity theory in Colombeau algebras

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