Abstract singular evolution equations of hyperbolic type

DOI10.1016/0022-1236(83)90059-9zbMath0506.47024OpenAlexW1964623018MaRDI QIDQ1836860

Giuseppe Coppoletta

Publication date: 1983

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(83)90059-9

zbMATH Keywords

weighted spacessemigroup techniquesabstract singular evolution equationKato hyperbolicitysecond order singular hyperbolic equations

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Groups and semigroups of linear operators (47D03) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

Related Items (5)

A singular boundary value problem for evolution equations of hyperbolic type ⋮ Unique existence of evolution equations of hyperbolic type with countably many singular or degenerate points ⋮ Semigroups of operators, cosine operator functions, and linear differential equations ⋮ Degenerate and singular evolution equations in Banach space ⋮ On a singular evolution equation in Banach spaces

Cites Work

• Second order abstract differential equations with singular coefficients
• Sommes d'opérateurs linéaires et équations différentielles opérationnelles
• Singular evolution equations
• Regularity theorems for solutions of a degenerate evolution equation
• Linear evolution equations of hyperbolic type. II
• On an abstract singular cauchy problem
• On a method for studying abstract evolution equations in the hyperbolic case
• Degenerate Evolution Equations in Hilbert Space
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