Upper bounds on the number of scattering poles and the Lax–Phillips conjecture

Article type: Research Article

Authors: Petkov, Vesselin^; | Vodev, Georgi

Affiliations: Département de Mathématiques, Université de Bordeaux I, 351 Cours de la Libération, 33405 Talence Cedex, France | Institute of Mathematics, Bulgarian Academy of Sciences, str. Acad. Bontchev, bl. 8, 1113 Sofia, Bulgaria

Note: [] Correspondence to: V. Petkov, Département de Mathématiques, Université de Bordeaux I, 351 Cours de la Libération, 33405 Talence Cedex, France. Email: petkov@melchior.greco-prog.fr.

Abstract: We obtain a new type of upper bounds on the number of scattering poles which allow to give some sufficent conditions for the Lax-Phillips conjecture (and also the modified one) to hold for a class of compactly supported hypoelliptic perturbations of the Laplace operator in Rn, n≥3 being odd.

DOI: 10.3233/ASY-1993-7202

Journal: Asymptotic Analysis, vol. 7, no. 2, pp. 97-104, 1993