Nous étudions des opérateurs pseudodifférentiels magnétiques associés à des symboles elliptiques et ayant des potentiels anisotropes. Nous démontrons leur affiliation à certaines -algèbres et nous donnons des formules pour le spectre essentiel comme une union des spectres de certains opérateurs asymptotiques.
We study magnetic pseudodifferential operators associated with elliptic symbols and with anisotropic potentials. We prove affiliation to suitable -algebras and give formulae for the essential spectrum as a union of spectra of some asymptotic operators.
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Publié le :
Marius Măntoiu 1 ; Radu Purice 1 ; Serge Richard 2
@article{CRMATH_2007__344_1_11_0, author = {Marius M\u{a}ntoiu and Radu Purice and Serge Richard}, title = {On the essential spectrum of magnetic pseudodifferential operators}, journal = {Comptes Rendus. Math\'ematique}, pages = {11--14}, publisher = {Elsevier}, volume = {344}, number = {1}, year = {2007}, doi = {10.1016/j.crma.2006.11.001}, language = {en}, }
TY - JOUR AU - Marius Măntoiu AU - Radu Purice AU - Serge Richard TI - On the essential spectrum of magnetic pseudodifferential operators JO - Comptes Rendus. Mathématique PY - 2007 SP - 11 EP - 14 VL - 344 IS - 1 PB - Elsevier DO - 10.1016/j.crma.2006.11.001 LA - en ID - CRMATH_2007__344_1_11_0 ER -
Marius Măntoiu; Radu Purice; Serge Richard. On the essential spectrum of magnetic pseudodifferential operators. Comptes Rendus. Mathématique, Volume 344 (2007) no. 1, pp. 11-14. doi : 10.1016/j.crma.2006.11.001. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2006.11.001/
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