A note on linear hyperbolic evolution equations

DOI10.1017/S0308210500015237zbMath0453.47023OpenAlexW2105388292MaRDI QIDQ3900549

Hans Grabmüller

Publication date: 1981

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500015237

zbMATH Keywords

hyperbolic evolution equationsnon- symmetric perturbationparabola conditionssolution with exponential growth

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Linear differential equations in abstract spaces (34G10) Initial value problems for second-order hyperbolic equations (35L15) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items (2)

Hyperbolic integro-differential equations of convolution type ⋮ Cosine Families of Unbounded Operators

Cites Work

• An operator-theoretical integration of the wave equation
• Fractional powers of closed operators and the semigroups generated by them
• Hyperbolic integro-differential equations of convolution type
• Ordinary differential equations in linear topological spaces. I
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