Generalized solution to a semilinear hyperbolic system with a non-Lipschitz nonlinearity

DOI10.1007/BF01317318zbMath0908.35073OpenAlexW2061391594MaRDI QIDQ1386389

Marko Nedeljkov, Stevan Pilipović

Publication date: 15 March 1999

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178812

zbMATH Keywords

Colombeau's algebra

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) First-order nonlinear hyperbolic equations (35L60) PDEs with low regular coefficients and/or low regular data (35R05) Initial value problems for first-order hyperbolic systems (35L45)

Related Items

Generalized solutions to hyperbolic systems with non-linear conditions and strongly singular data ⋮ Quasiasymptotic analysis in Colombeau algebra ⋮ Nonlinear parabolic equations with singularities in Colombeau vector spaces ⋮ Nonlinear parabolic equations with regularized derivatives in Colombeau algebra

Cites Work

• Unnamed Item
• A nonlinear theory of generalized functions.
• Generalized solutions to Cauchy problems
• Generalized solutions to partial differential equations of evolution type
• Generalized solutions to semilinear hyperbolic systems
• The decay of solutions of the Carleman model
• The carleman system with positive measures as initial data-generalized solutions

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