A note on a semilinear hyperbolic system with generalized functions as coefficients

DOI10.1016/S0362-546X(97)00407-0zbMath0893.35067OpenAlexW2084671211MaRDI QIDQ4378432

Marko Nedeljkov, Stevan Pilipović

Publication date: 30 August 1998

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(97)00407-0

zbMATH Keywords

generalized solutionssingularly perturbed Cauchy problemsreal tempered distributions

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) First-order nonlinear hyperbolic equations (35L60) PDEs with low regular coefficients and/or low regular data (35R05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items

Generalized solutions to hyperbolic systems with non-linear conditions and strongly singular data ⋮ Generalised solutions to linear and non-linear Schrödinger-type equations with point defect: Colombeau and non-Colombeau regimes

Cites Work

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• Generalized solutions to Cauchy problems
• Generalized solutions to nonlinear first-order systems
• Generalized solutions to partial differential equations of evolution type
• Generalized solutions to semilinear hyperbolic systems