On some singular hyperbolic evolution equations

zbMath0424.35056MaRDI QIDQ1134911

S. H. Smith

Publication date: 1981

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

zbMATH Keywords

Cauchy problemMaxwell's equationsexistence and uniquenessinfinitesimal generatorabstract evolution equationdissipative boundary conditionscharacteristic matrixself-adjoint nonnegative (unbounded) linear operatortelegraphist equation

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Q99) Linear differential equations in abstract spaces (34G10) First-order hyperbolic systems (35L40) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15)

Related Items (4)

An operational method for abstract degenerate evolution equations of hyperbolic type ⋮ Infinitely differentiable semigroups of operators with kernel ⋮ Banach algebras associated with linear operator pencils ⋮ On some hyperbolic evolution equations with time-dependent singularity

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