Unique strong and strict solutions for inhomogeneous hyperbolic differential equations in Banach space (revised version)

DOI10.1007/S00605-018-1180-0OpenAlexW2802890292MaRDI QIDQ2416331

Salih Jawad

Publication date: 23 May 2019

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

Full work available at URL: https://doi.org/10.1007/s00605-018-1180-0

zbMATH Keywords

strong solutionsevolution equationsstrict solutionsabstract hyperbolic differential equationsregularity of integrals

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Nonlinear differential equations in abstract spaces (34G20) Functional-differential equations in abstract spaces (34K30) Groups and semigroups of linear operators (47D03) Abstract hyperbolic equations (35L90) Equations in function spaces; evolution equations (58D25)

Cites Work

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• Existence and uniqueness of strong and classical solutions of inhomogeneous hyperbolic differential equations in Hilbert space
• Semigroups of linear operators and applications to partial differential equations
• A simplified proof of a theorem of Kato on linear evolution equations
• Integration of the equation of evolution in a Banach space
• Zur Regularität von drei Integralen im Hilbertraum

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