Evolution operators for higher order abstract parabolic equations

DOI10.21136/cmj.1986.102085zbMath0618.35054OpenAlexW2744558875MaRDI QIDQ4727538

Enrico Obrecht

Publication date: 1986

Full work available at URL: https://eudml.org/doc/13575

zbMATH Keywords

existenceCauchy problemevolution operatorvariable coefficientshigher order abstract parabolic equation

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) 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 (13)

The Cauchy problem for time-dependent abstract parabolic equations of higher order ⋮ Existence of solutions of abstract non-autonomous second order integro-differential equations ⋮ Approximate controllability of second-order evolution differential inclusions in Hilbert spaces ⋮ On fundamental solutions of linear parabolic equations of higher order in time and associated Volterra equations ⋮ Existence of solutions of the nonautonomous abstract Cauchy problem of second order ⋮ A note on approximate controllability of second‐order neutral stochastic delay integro‐differential evolution inclusions with impulses ⋮ Approximate controllability of non-autonomous second order impulsive functional evolution equations in Banach spaces ⋮ Parabolicity of second order differential equations in Hilbert space ⋮ Existence of Global Solutions for a Class of Abstract Second-Order Nonlocal Cauchy Problem with Impulsive Conditions in Banach Spaces ⋮ Controllability of second-order impulsive evolution systems with infinite delay ⋮ Existence of solutions of non-autonomous second order functional differential equations with infinite delay ⋮ Semigroups of operators, cosine operator functions, and linear differential equations ⋮ Approximate controllability of second-order nonlocal impulsive partial functional integro-differential evolution systems in Banach spaces

Cites Work

• Sul problema di Cauchy per le equazioni paraboliche astratte di ordine n
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