A non elliptic spectral problem related to the analysis of superconducting micro-strip lines
Anne-Sophie Bonnet-Bendhia, Karim Ramdani (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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This paper is devoted to the spectral analysis of a non elliptic operator , deriving from the study of superconducting micro-strip lines. Once a sufficient condition for the self-adjointness of operator has been derived, we determine its continuous spectrum. Then, we show that is unbounded from below and that it has a sequence of negative eigenvalues tending to -∞. Using the Min-Max principle, a characterization of its positive eigenvalues is given. Thanks to this characterization,...