Spectral analysis and applications for some non-selfadjoint models.
The properties of some simple non-selfadjoint models, such as the complex
Airy operator, Davies operator or the complex cubic oscillator, have been
recently investigated in order to
highlight some surprising properties of non-selfadjoint (non-normal)
operators. For instance, the so-called Davies operator has played an
important role in the understanding
of the spectral instability phenomenon.
In this talk, we will recall the main spectral and pseudospectral
properties of these
models, and then present a wide range of applications, including problems
arising from non-hermitian quantum mechanics, control theory or
Due to technical problems with the microphone, the sound of this video may be partially or completely scrambled, we apologize for this.