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On the eigenvalues of a class of hypoelliptic operators. (English) Zbl 0375.35014


MSC:

35H10 Hypoelliptic equations
35P20 Asymptotic distributions of eigenvalues in context of PDEs
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References:

[1] Bolley, C., Camus, J., Pham, T.: Colloque d’?quations aux d?riv?es partielles de St-Jean-de-Monts (June 1977). Lecture Notes in Mathematics. Berlin, Heidelberg, New York: Springer (to appear)
[2] Boutet de Monvel, L.: Hypoelliptic operators with double characteristics and related pseudo-differential operators. Comm. Pure Appl. Math.27, 585-639 (1974) · Zbl 0294.35020 · doi:10.1002/cpa.3160270502
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[8] Kucherenko, V.: Asymptotic solutions of equations with complex characteristics. Math. Sb.137, 163-213 (1974) · Zbl 0311.35007
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[10] Melin, A., Sj?strand, J.: Fourier integral operators with complex-valued phase functions. Lecture Notes in Mathematics 459, pp. 120-233. Berlin, Heidelberg, New York: Springer 1975 · Zbl 0306.42007
[11] Melin, A., Sj?strand, J.: Fourier integral operators with complex phase functions and a parametrix for an interior boundary value problem. Comm. P.D.E.1, 313-400 (1976) · Zbl 0364.35049 · doi:10.1080/03605307608820014
[12] Metivier, G.: Fonction spectrale et valeurs propres d’une class d’operateurs non elliptiques. Comm. P.D.E.1, 467-519 (1976) · Zbl 0376.35012 · doi:10.1080/03605307608820018
[13] Sj?strand, J.: Parametrices for pseudodifferential operators with multiple characteristics. Arkiv f?r Mat.12, 85-130 (1974) · Zbl 0317.35076 · doi:10.1007/BF02384749
[14] Sj?strand, J.: Applications of Fourier distributions with complex phase function. Lecture Notes in Mathematics 459, 255-282. Berlin, Heidelberg, New York: Springer 1975
[15] Treves, F.: Solution of Cauchy problems modulo flat functions. Comm. P.D.E.1, 45-72 (1976) · doi:10.1080/03605307608820003
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