On spectral problems related to a time dependent model in superconductivity with electric current | Zendy

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On spectral problems related to a time dependent model in superconductivity with electric current

Author(s) -

Bernard Helffer

Publication year - 2011

Publication title -

journées équations aux dérivées partielles

Language(s) - English

Resource type - Journals

eISSN - 2118-9366

pISSN - 0752-0360

DOI - 10.5802/jedp.56

Subject(s) - mathematical proof , character (mathematics) , current (fluid) , superconductivity , theoretical physics , statistical physics , calculus (dental) , electric current , physics , computer science , mathematical economics , mathematics , quantum mechanics , geometry , medicine , dentistry , thermodynamics

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.

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