Calculus of PDO and coercitivity of boundary problems

Main publications: calculus of PDO with singular and degenerate symbols, coercitivity of boundary problems for degenerate elliptic operators

  • S. Levendorskiĭ, Degenerate elliptic equations. Mathematics and its Applications, 258. Kluwer Academic Publishers Group, Dordrecht, 1993, xii+431 pp.
  • S. Levendorskiĭ Asymptotic distribution of eigenvalues of differential operators. Translated from the Russian. Mathematics and its Applications (Soviet Series), 53. Kluwer Academic Publishers Group, Dordrecht, 1990, xviii+279 pp
  • S. Levendorskiĭ and B. Paneyakh, Degenerate elliptic equations and boundary value problems. In Encyclopedia of Mathematical Sciences, v.63, 131-202, Springer-Verlag, 1994
  • S. Levendorskiĭ, The algebra of boundary value problems for a class of pseudodifferential operators of variable order. (Russian) Dokl. Akad. Nauk SSSR 313 (1990), no. 4,795--798 translation in Soviet Math. Dokl. 42 (1991), no. 1, 77--81
  • S. Levendorskiĭ, On the symbols of degenerate elliptic differential and hypoelliptic pseudodifferential operators. (Russian) Izv.Akad. Nauk SSSR Ser. Mat. 52 (1988), no. 3,541--558, 671 translation in Math. USSR-Izv. 32 (1989), no. 3, 543--561
  • S. Levendorskiĭ, On the types of degenerate elliptic operators. (Russian) Mat. Sb. 180 (1989), no. 4,513--528, 559 translation in Math. USSR-Sb. 66 (1990), no. 2, 523--540

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