Non autonomous evolution operators of hyperbolic type

DOI10.1007/BF03025772zbMath0791.47040OpenAlexW1983904783MaRDI QIDQ1204133

Eugenio Sinestrari, Giuseppe Da Prato

Publication date: 1 March 1993

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/135194

zbMATH Keywords

initial boundary value problemexistence and uniqueness of solutionsYosida approximationfirst order partial differential equation with discontinuous coefficientsKato's semigroup approach to non- autonomous hyperbolic equations

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) General theory of partial differential operators (47F05)

Related Items (17)

A Hille-Yosida theorem for weakly continuous semigroups ⋮ Asymptotic properties via an integrodifferential inequality ⋮ Abstract Cauchy problems for quasilinear operators whose domains are not necessarily dense or constant ⋮ Solutions to non-autonomous integrodifferential equations with infinite delay ⋮ Periodic solutions of non-densely non-autonomous differential equations with delay ⋮ Semilinear equations in the “hyperbolic” case ⋮ Nonautonomous partial functional differential equations; existence and regularity ⋮ Local existence and blowing up phenomena for a class of non-autonomous partial functional differential equations with infinite delay ⋮ Existence of Local and Maximal Mild Solutions for Some Non-autonomous Functional Differential Equation with Finite Delay ⋮ Abstract quasilinear integrodifferential equations of hyperbolic type ⋮ Mild solutions for some nonautonomous partial functional differential equations with infinite delay ⋮ Model reduction of non-densely defined piecewise-smooth systems in Banach spaces ⋮ Global solvability for abstract semilinear evolution equations ⋮ Non-autonomous nonlinear integro-differential equations with infinite delay ⋮ Unnamed Item ⋮ Linear Volterra equations and integrated solution families ⋮ A class of complete second order linear differential equations

Cites Work

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• Integrated semigroups
• Semiflows generated by Lipschitz perturbations of non-densely defined operators
• Semigroups of linear operators and applications to partial differential equations
• Linear evolution equations of hyperbolic type. II
• Resolvent Positive Operators

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