Semilinear hyperbolic systems and equations with singular initial data

DOI10.1007/BF01525797zbMath0747.35020MaRDI QIDQ1181786

Todor Gramchev

Publication date: 27 June 1992

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

Full work available at URL: https://eudml.org/doc/178532

zbMATH Keywords

weak limitsmultidimensional casesemilinear strictly hyperbolic systems3-D semilinear wave equationnonlinear term with sublinear growth

Mathematics Subject Classification ID

Related Items (9)

Generalized solutions to hyperbolic systems with non-linear conditions and strongly singular data ⋮ LOCALLY CONVEX SPACES OF VECTOR-VALUED DISTRIBUTIONS WITH MULTIPLICATIVE STRUCTURES ⋮ Reflection of delta-waves for nonlinear wave equations in one space variable ⋮ Entropy solutions to conservation laws with singular initial data ⋮ Generalized Solution of Non-homogeneous Wave Equation ⋮ Nonlinear stochastic wave equations ⋮ Semilinear hyperbolic systems with singular non-local boundary conditions: Reflection of singularities and delta waves ⋮ Singular asymptotic expansions and delta waves for Burgers' equation ⋮ The Colombeau generalized nonlinear analysis and the Schwartz linear distribution theory

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Weak limits of solutions to semilinear hyperbolic systems
• Nonlinear superposition and absorption of delta waves in one space dimension
• Jump discontinuities of semilinear, strictly hyperbolic systems in two variables: creation and propagation
• A nonlinear theory of generalized functions.
• On distribution solutions for nonlinear differential equations: Nontriviality conditions
• Generalized solutions to semilinear hyperbolic systems
• On a hyperbolic system with a compatible quadratic

This page was built for publication: Semilinear hyperbolic systems and equations with singular initial data