On some abstract variable domain hyperbolic differential equations

DOI10.1007/BF01759372zbMath0954.34049MaRDI QIDQ1568765

Giovanna Bonfanti, Marco Luigi Bernardi, Fabio Luterotti

Publication date: 5 February 2001

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

existenceuniquenessCauchy problemweak solutionslinear abstract differential equations of hyperbolic type

Mathematics Subject Classification ID

Wave equation (35L05) Linear differential equations in abstract spaces (34G10)

Related Items (7)

Radial solutions for a dynamic debonding model in dimension two ⋮ Abstract Schrödinger-type differential equations with variable domain ⋮ Dynamic crack propagation in a 2D elastic body: the out-of-plane case ⋮ On the wave equation on moving domains: regularity, energy balance and application to dynamic debonding ⋮ On the 1d wave equation in time-dependent domains and the problem of debond initiation ⋮ Dynamics for the complex Ginzburg-Landau equation on non-cylindrical domains II: The monotone case ⋮ Variational equations of Schroedinger-type in non-cylindrical domains

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