Pseudospectra of the damped wave equation with unbounded damping

Ahmet Arifoski, Petr Siegl

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)
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Abstract

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
Volume52
Issue number2
DOIs
Publication statusPublished - 24 Mar 2020

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