Pseudospectra of the Damped Wave Equation with Unbounded Damping

DOI10.1137/18M1221400zbMath1435.35212arXiv2001.07767OpenAlexW3013035964MaRDI QIDQ5220478

Ahmet Arifoski, Petr Siegl

Publication date: 26 March 2020

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.07767

zbMATH Keywords

damped wave equationunbounded dampingpseudospectrum of the generator

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Spectrum, resolvent (47A10) Second-order hyperbolic equations (35L10)

Related Items (4)

Pseudomodes for non-self-adjoint Dirac operators ⋮ Concentration of eigenfunctions of Schrödinger operators ⋮ Pseudomodes for Biharmonic Operators with Complex Potentials ⋮ Resolvent estimates for one-dimensional Schrödinger operators with complex potentials

Cites Work

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• Complex Magnetic Fields: An Improved Hardy--Laptev--Weidl Inequality and Quasi-Self-Adjointness
• A COMPLETE STUDY OF THE PSEUDO-SPECTRUM FOR THE ROTATED HARMONIC OSCILLATOR

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