A spectral approach to ill-posed problems for wave equations

DOI10.1007/S10231-007-0063-0zbMath1164.35053OpenAlexW2153109107MaRDI QIDQ931370

Nadia J. Gal, Ciprian G. Gal

Publication date: 25 June 2008

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

Full work available at URL: https://doi.org/10.1007/s10231-007-0063-0

zbMATH Keywords

spectral theoryill-posed problemsabstract wave equationseigenpackets

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20)

Related Items (3)

Regularity of complexified hyperbolic equations with integral conditions ⋮ Superdiffusive fractional in time Schrödinger equations: a unifying approach to superdiffusive waves ⋮ OPTIMAL CONTROL FOR A CONTROLLED ILL-POSED WAVE EQUATION WITHOUT REQUIRING THE SLATER HYPOTHESIS

Cites Work

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• The Dirichlet problem for the wave equation
• A not well posed problem for the wave equation
• Uniqueness criteria for solutions to abstract boundary value problems
• On the essential spectrum of a class of singular matrix differential operators. I: Quasiregularity conditions and essential self-adjointness
• Stabilization and regularization for solutions of an ill posed problem for the wave equation
• The Essential Spectrum of Some Matrix Operators
• The Eigenvalue Problem for Ordinary Differential Equations of the Second Order and Heisenberg's Theory of S-Matrices

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