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A counterexample to a lower bound for a class of pseudodifferential operators
Author(s):
Marco
Mughetti;
Fabio
Nicola
Journal:
Proc. Amer. Math. Soc.
132
(2004),
3299-3303.
MSC (2000):
Primary 35S05
Posted:
June 2, 2004
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Abstract:
We present a counterexample to a possible improvement of a lower bound for a class of pseudodifferential operators with symplectic characteristic manifold.
References:
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- 1.
- L. Boutet de Monvel, Hypoelliptic operators with double characteristics and related pseudodifferential operators, Comm. Pure Appl. Math., 27 (1974), 585-639. MR 51:6498
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- L. Boutet de Monvel, A. Grigis, B. Helffer, Paramétrixes d'opérateurs pseudo-différentiels à caractéristiques multiples, Astérique, 34-35 (1976), 93-121. MR 58:12046
- 3.
- L. Hörmander, The Cauchy problem for differential equations with double characteristics, Journal d'Analyse Mathématique, 32 (1977), 118-196. MR 58:11822
- 4.
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 ' , Boll. U.M.I. (8) 1-B (1998), 187-215.MR 99d:35194 - 7.
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- 8.
- C. Parenti, A. Parmeggiani, Lower bounds for systems with double characteristics, Journal d'Analyse Mathématique, 86 (2002), 49-91. MR 2003i:35288
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Additional Information:
Marco
Mughetti
Affiliation:
Department of Mathematics, University of Bologna, Piazza di Porta S. Donato 5, 40127 Bologna, Italy
Email:
mughetti@dm.unibo.it
Fabio
Nicola
Affiliation:
Department of Mathematics, University of Torino, via Carlo Alberto 10, 10123 Torino, Italy
Email:
nicola@dm.unito.it
DOI:
10.1090/S0002-9939-04-07486-6
PII:
S 0002-9939(04)07486-6
Keywords:
Pseudodifferential operators,
lower bounds
Received by editor(s):
August 10, 2003
Posted:
June 2, 2004
Communicated by:
David S. Tartakoff
Copyright of article:
Copyright
2004,
American Mathematical Society
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