Existence of solutions for linear systems and hyperbolic problems with variable domains

DOI10.1080/00036818108839340zbMath0469.35005OpenAlexW1994348513WikidataQ58288665 ScholiaQ58288665MaRDI QIDQ3922985

Tapas Mazumdar

Publication date: 1981

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036818108839340

zbMATH Keywords

coercivityunbounded operatorscoercivity conditionsadjointnessseparable complex Hilbert spaceweak and strong solutionsdifferential equation in Hilbert spacedistributions derivativesweak differentiability of linear operators

Mathematics Subject Classification ID

Linear differential equations in abstract spaces (34G10) Second-order hyperbolic equations (35L10) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15)

Related Items

On some abstract variable domain hyperbolic differential equations ⋮ Abstract linear hyperbolic equations with variable domain

Cites Work

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• Regularity of solutions of linear coercive evolution equations with variable domain. I
• Time dependent hyperbolic equations
• Remarks on some variable domain problems in abstract evolution equations
• Variable domain second order evolution equations
• Existence Theorems for Some Weak Abstract Variable Domain Hyperbolic Problems