Pseudospectra of the damped wave equation with unbounded damping

Ahmet Arifoski, Petr Siegl

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)
132 Downloads (Pure)

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

Fingerprint

Dive into the research topics of 'Pseudospectra of the damped wave equation with unbounded damping'. Together they form a unique fingerprint.

Cite this