B. Helffer
On Spectral Problems Related to a Time Dependent Model in Superconductivity with Electric Current
Preprint series:
ESI preprints
- MSC:
- 82D55 Superconductors
- 35P10 Completeness of eigenfunctions, eigenfunction expansions for PDO
- 35P15 Estimation of eigenvalues, upper and lower bounds
Abstract: This lecture is mainly inspired by a paper of
Y.~Almog appearing last year at Siam J.~Math.~Anal. Our goal here
is first to discuss in detail
the simplest models which we think are enlightning for understanding
the role of the pseudospectra in this question and secondly to present
proofs which will have some general character and will for example apply
in a more physical model, for which we have obtained recently results
together with Y.~Almog and X.~Pan.
Keywords: superconductivity, Ginzburg-Landau, electric current, non self-adjoint