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 language | English |
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Pages (from-to) | 1343–1362 |
Journal | SIAM Journal on Mathematical Analysis |
Volume | 52 |
Issue number | 2 |
DOIs | |
Publication status | Published - 24 Mar 2020 |