The Cauchy problem for a first order system of abstract operator equations

DOI10.1090/S0002-9904-1975-13743-8zbMath0307.35021OpenAlexW2063168844MaRDI QIDQ4064389

J. A. Donaldson

Publication date: 1975

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9904-1975-13743-8

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Groups and semigroups of linear operators (47D03) General theory of partial differential operators (47F05) Higher-order hyperbolic systems (35L55) Initial value problems for linear first-order PDEs (35F10)

Related Items (3)

Differential equations in a Banach space ⋮ A uniqueness theorem for epd type equations in general spaces ⋮ The abstract Cauchy problem

Cites Work

• The abstract Cauchy problem
• Explicit solution of a class of higher-order abstract Cauchy problems
• Une généralisation du problème de Cauchy
• On some hyperbolic equations with operator coefficients

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