Nonlinear maps in spaces of distributions

DOI10.1007/BF02570824zbMath0729.46015MaRDI QIDQ805994

Todor Gramchev

Publication date: 1992

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174354

zbMATH Keywords

nonlinear superposition\(\sigma \) - Colombeau algebra\(\sigma \) - ultradistributionCauchy problems for a class of semilinear hyperbolic systems in space dimension one with singular initial datastrongly singular distributions

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items (6)

Generalized solutions to hyperbolic systems with non-linear conditions and strongly singular data ⋮ Optimal embeddings of ultradistributions into differential algebras ⋮ A nonlinear theory of infrahyperfunctions ⋮ Generalized Function Algebras Containing Spaces of Periodic Ultradistributions ⋮ Linear equations with singular coefficients and nonlinear equations with non-lipschitz nonlinearities ⋮ Imbedding of infinite dimensional distributions into simplified Colombeau type algebras

Cites Work

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• Weak limits of solutions to semilinear hyperbolic systems
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• On a hyperbolic system with a compatible quadratic
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• A contribution to the theory of generalized functions
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION
• Multiplication of distributions

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