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Pseudospectra of differential operators. (English) Zbl 0998.34067

Summary: The author studies the pseudospectral theory of a variety of nonselfadjoint constant coefficient and variable coefficient differential operators, showing that the phenomenon of nontrivial pseudospectra is typical rather than exceptional. He proves that the pseudospectra provide more stable information on the operators under various limiting procedures than does the spectrum.

MSC:

34L05 General spectral theory of ordinary differential operators
47A75 Eigenvalue problems for linear operators
35P05 General topics in linear spectral theory for PDEs
49R50 Variational methods for eigenvalues of operators (MSC2000)
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