Higher order abstract Cauchy problems

DOI10.1016/0022-247X(77)90012-9zbMath0358.35068OpenAlexW2004945997MaRDI QIDQ1238271

James T. jun Sandefur

Publication date: 1977

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(77)90012-9

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) General theory of partial differential operators (47F05) Equations and inequalities involving linear operators, with vector unknowns (47A50) Linear higher-order PDEs (35G05) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20)

Related Items

Temporally inhomogeneous Timoshenko beam equations, Some developments in semigroups of operators since Hille-Phillips, Well-Posedness of Higher Order Abstract Cauchy Problems, Incomplete iterated Cauchy problems, The damped string problem revisited, The abstract Cauchy problem, Abstract equipartition of energy theorems, Regularized semigroups, iterated Cauchy problems and equipartition of energy, Semigroups of operators, cosine operator functions, and linear differential equations, Asymptotic Equipartition of Energy for Differential Equations in Hilbert Space, On asymptotic equipartition of energy, Asymptotic equipartition of energy for equations of elasticity, Equipartition of energy for higher order abstract hyperbolic equations, Well-posedness of abstract Cauchy problems

Cites Work

• Note on product formulas for operator semigroups
• Ordinary differential equations in linear topological spaces. I
• Semigroups and second-order differential equations
• Explicit solution of a class of higher-order abstract Cauchy problems
• Generation of a strongly continuous semi-group operations
• Spectral and Scattering Theory for Second-Order Partial Differential Operators
• On the Product of Semi-Groups of Operators
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