Degenerate distribution semigroups and well-posedness of the cauchy problem

DOI10.1080/10652469808819169zbMath0907.34060OpenAlexW1994026682WikidataQ126256074 ScholiaQ126256074MaRDI QIDQ3841128

U. A. Anufrieva, V. Yu. Ushkov, Irina V. Melnikova

Publication date: 2 March 1999

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469808819169

zbMATH Keywords

generatorCauchy problemswellposednessintegrated semigroupssolution operatordistribution semigroupsabstract distributionsdegenerate first-order equation

Mathematics Subject Classification ID

Functional-differential equations in abstract spaces (34K30) Equations and inequalities involving linear operators, with vector unknowns (47A50) Linear differential equations in abstract spaces (34G10) Distributions on infinite-dimensional spaces (46F25)

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Degenerate C-distribution cosine functions and degenerate C-ultradistribution cosine functions in locally convex spaces

Cites Work

• Vector-valued Laplace transforms and Cauchy problems
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• Semigroups of operators in locally convex spaces
• Problèmes de Cauchy abstraits et applications à quelques problèmes mixtes
• Local C -Semigroups and Local Integrated Semigroups
• Generalization of Zemanian Spaces of Generalized Functions which Have Orthonormal Series Expansions
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• General theory of the ill-posed Cauchy problem
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