An approach to linear hyperbolic evolution equations by the Yosida approximation method

DOI10.3792/PJAA.54.17zbMath0404.35052OpenAlexW2077842794MaRDI QIDQ1256641

Susumu Ishii

Publication date: 1978

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.54.17

zbMATH Keywords

Hille-Yosida TheoremHilbert SpaceStability ConditionAbstract Evolution EquationExistence Theorem

Mathematics Subject Classification ID

Initial value problems for linear higher-order PDEs (35G10) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20) Higher-order parabolic equations (35K25)

Related Items (1)

Diagonalizing quadratic bosonic operators by non-autonomous flow equation

Cites Work

• Unnamed Item
• Linear evolution equations of hyperbolic type. II
• Sur les opérateurs de Green des problèmes de Cauchy abstraits

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