Pseudospectra of the damped wave equation with unbounded damping

Ahmet Arifoski, Petr Siegl

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We analyze pseudospectra of the generator of the damped waveequation with unbounded damping. We show that the resolvent norm divergesas Re z → −∞. The highly non-normal character of the operator is a robusteffect preserved even when a strong potential is added. Consequently, spectralinstabilities and other related pseudospectral effects are present.
Original languageEnglish
Pages (from-to)1343–1362
JournalSIAM Journal on Mathematical Analysis
Issue number2
Publication statusPublished - 24 Mar 2020


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