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The eigenvalues of hypoelliptic operators. III: The non-semibounded case. (English) Zbl 0436.35065


MSC:

35P20 Asymptotic distributions of eigenvalues in context of PDEs
35S99 Pseudodifferential operators and other generalizations of partial differential operators
65H10 Numerical computation of solutions to systems of equations
58J40 Pseudodifferential and Fourier integral operators on manifolds
Full Text: DOI

References:

[1] Hörmander, L., A class of hypoelliptic pseudo-differential operators with double characteristics, Math. Ann., 217, 165-188 (1975) · Zbl 0306.35032 · doi:10.1007/BF01351297
[2] Melin, A., Lower bounds for pseudo-differential operators, Ark. Mat., 9, 117-140 (1971) · Zbl 0211.17102 · doi:10.1007/BF02383640
[3] Menikoff, A.; Sjöstrand, J., On the eigenvalues of a class of hypoelliptic operators, Math. Ann., 235, 55-85 (1978) · Zbl 0375.35014 · doi:10.1007/BF01421593
[4] A. Menikoff and J. Sjöstrand,On the eigenvalues of a class of hypoelliptic operators II, to appear in Springer Lecture Notes. · Zbl 0444.35019
[5] J. Sjöstrand, in preparation; see also Proc. Internat. Congress of Math., Helsinki, 1978.
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