The one-dimensional wave equation with general boundary conditions

DOI10.1007/s00013-010-0209-yzbMath1211.35166OpenAlexW1993399346MaRDI QIDQ633166

Edgardo Alvarez-Pardo, Mahamadi Warma

Publication date: 31 March 2011

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-010-0209-y

zbMATH Keywords

cosine and sine familiesd'Alembert's formulanonlocal Robin boundary conditions

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) One-parameter semigroups and linear evolution equations (47D06) Wave equation (35L05) Operator sine and cosine functions and higher-order Cauchy problems (47D09) Abstract hyperbolic equations (35L90)

Related Items (2)

On moments-preserving cosine families and semigroups in \(C[0, 1\)] ⋮ Functionals-preserving cosine families generated by Laplace operators in \(C[0,1\)]

Cites Work

• Generation of cosine families via Lord Kelvin's method of images
• Second order differential operators with Feller-Wentzell type boundary conditions
• On cosine operator functions and one-parameter groups of operators
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The one-dimensional wave equation with general boundary conditions