References
V. P. Glushko and U. B. Savchenko, “Degenerate elliptic higher order operators: spaces, operators, and boundary value problems,” Itogy Nauki i Tekhniki, Ser. Mat. Analiz,31, 125–218, VINITI, Moscow (1985).
S. Z. Levendorskiî, “On symbols of degenerate elliptic differential and hypoelliptic pseudodifferential operators,” Izv. Akad. Nauk SSSR Ser. Mat.,52, No. 3, 541–558 (1976).
S. Z. Levendorskiî, “Asymptotic distribution of eigenvalues,” Izv. Akad. Nauk SSSR Ser. Mat.,46, No. 4, 810–852 (1988).
S. Z. Levendorskiî, “Coerciveness of degenerate elliptic operators,” Dokl. Akad. Nauk SSSR,298, No. 1, 29–31 (1988).
M. I. Vishik and V. V. Grushin, “Boundary value problems for elliptic equations degenerating on the boundary of a domain,” Mat. Sb.,80, No. 4, 455–491 (1969).
Additional information
Rostov-on-Don. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 33, No. 5, pp. 91–99, September–October, 1992.
Translated by G. V. Dyatlov and E. G. Taîpale
Rights and permissions
About this article
Cite this article
Levendorskiî, S.Z. On a class of elliptic operators with nonpolynomial degeneracy on a boundary. Sib Math J 33, 826–834 (1992). https://doi.org/10.1007/BF00970990
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00970990