Eigenvalue asymptotics, inverse problems and a trace formula for the linear damped wave equation

DOI10.1016/j.jde.2009.07.029zbMath1181.35151arXiv0905.3242OpenAlexW2963870090MaRDI QIDQ1039759

Pedro Freitas, Denis I. Borisov

Publication date: 23 November 2009

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.3242

zbMATH Keywords

asymptoticsDirichlet eigenvaluesdamped wave operator

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Wave equation (35L05)

Related Items (13)

Eigenvalue asymptotics for the damped wave equation on metric graphs ⋮ The regularized trace of Sturm–Liouville problem with discontinuities at two points ⋮ Spectral analysis and stabilization of one dimensional wave equation with singular potential ⋮ Trace formulae for the matrix Schrödinger equation with energy-dependent potential ⋮ An inverse problem for a differential pencil using nodal points as data ⋮ A trace formula for discontinuous eigenvalue problem ⋮ On the quasinodal map for the diffusion operator ⋮ Determination of differential pencils with spectral parameter dependent boundary conditions from interior spectral data ⋮ Trace formulae for differential pencils with spectral parameter dependent boundary conditions ⋮ The damped string problem revisited ⋮ Inverse Spectral Problem for a Damped Wave Operator ⋮ Trace formula and inverse nodal problem for a conformable fractional Sturm-Liouville problem ⋮ Direct and inverse nodal problem for differential pencil with coupled boundary conditions

Cites Work

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• Spectral sequences for quadratic pencils and the inverse spectral problem for the damped wave equation
• On some eigenvalue problems related to the wave equation with indefinite damping
• An inverse spectral problem for a nonnormal first order differential operator
• Energy decay rate of wave equations with indefinite damping
• Inverse eigenvalue problem for a vibration of a string with viscous drag
• Achieving Arbitrarily Large Decay in the Damped Wave Equation
• Exponential Decay of Energy of Evolution Equations with Locally Distributed Damping
• The rate at which energy decays in a damped String
• The Spectrum of the Damped Wave Operator for a Bounded Domain inR²
• ASYMPTOTIC METHODS IN THE THEORY OF ORDINARY LINEAR DIFFERENTIAL EQUATIONS
• Asymptotic distribution of eigenfrequencies for damped wave equations

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