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Parenti, Cesare and Parmeggiani, Alberto:
Some remarks on almost-positivity of $\psi\text{do}$'s
Bollettino dell'Unione Matematica Italiana Serie 8 1-B (1998), fasc. n.1, p. 187-215, Unione Matematica Italiana (English)
pdf (330 Kb), djvu (365 Kb). | MR1618980 | Zbl 0908.35146

Sunto

Per una classe di operatori pseudodifferenziali a caratteristiche multiple vengono date condizioni necessarie e sufficienti per la validità di stime dal basso «ottimali»
Referenze Bibliografiche
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[7] L. HÖRMANDER , The Cauchy problem for differential equations with double characteristics, J. Anal. Math., 32 (1977), 118-196. | MR 492751 | Zbl 0367.35054
[8] L. HÖRMANDER , The Analysis of Linear Partial Differential Operators, Vol.I-IV, Springer-Verlag (1983/85). | Zbl 0521.35002
[9] A. MELIN , Lower bounds for pseudo-differential operators, Arkiv för Matematik, 9(1971), 117-140. | MR 328393 | Zbl 0211.17102
[10] A. MENIKOFF - J. SJÖSTRAND , On the eigenvalues of a class of hypoelliptic operators, I, Math. Ann., 235 (1978), 55-85. | MR 481627 | Zbl 0375.35014
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[12] C. PARENTI - A. PARMEGGIANI , A necessary and sufficient condition for a lower bound for 4th-order pseudodifferential operators, J. Anal. Math., 69 (1996), 55-65. | MR 1428094 | Zbl 0864.35131
[13] C. PARENTI - A. PARMEGGIANI , Lower bounds for pseudodifferential operators, in Proceedings N.A.T.O. Conference in Microlocal Analysis and Spectral Theory, L. Rodino (ed.), Vol. 490, Kluwer Academic Publisher (1997), 251-262. | MR 1451395 | Zbl 0881.35132
[14] A. PARMEGGIANI , Necessary and sufficient conditions for the almost-positivity of certain 4th-order pseudodifferential operators, to appear in Forum Mathematicum. | Zbl 0927.35140
[15] M. SHUBIN , Pseudodifferential Operators and Spectral Theory, Springer-Verlag (1987). | MR 883081 | Zbl 0616.47040
[16] J. SJÖSTRAND , Parametrices for pseudodifferential operators with multiple characteristics, Arkiv för Matematik, 12 (1974), 85-130. | MR 352749 | Zbl 0317.35076

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