Some remarks on time-dependent evolution systems in the hyperbolic case

zbMath0756.35046MaRDI QIDQ1174521

Silvano Delladio

Publication date: 25 June 1992

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1990__84__255_0

zbMATH Keywords

regularity of evolution operatortime-dependent Cauchy problem

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) Linear operators on function spaces (general) (47B38) Initial value problems for first-order hyperbolic systems (35L45) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25) Equations in function spaces; evolution equations (58D25)

Cites Work

• On the Korteweg-de Vries equation
• Boundary-value problems for a class of first order partial differential equations in Sobolev spaces and applications to the Euler flow
• Semigroups of linear operators and applications to partial differential equations
• A simplified proof of a theorem of Kato on linear evolution equations
• Linear evolution equations of hyperbolic type. II
• On a method for studying abstract evolution equations in the hyperbolic case
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