Generalizations of Melin's inequality to systems

Raymond Brummelhuis

Journées équations aux dérivées partielles (2001)

  • page 1-8
  • ISSN: 0752-0360

Abstract

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We discuss a recent necessary and sufficient condition for Melin's inequality for a class of systems of pseudodifferential operators.

How to cite

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Brummelhuis, Raymond. "Generalizations of Melin's inequality to systems." Journées équations aux dérivées partielles (2001): 1-8. <http://eudml.org/doc/93412>.

@article{Brummelhuis2001,
abstract = {We discuss a recent necessary and sufficient condition for Melin's inequality for a class of systems of pseudodifferential operators.},
author = {Brummelhuis, Raymond},
journal = {Journées équations aux dérivées partielles},
keywords = {pseudodifferential systems; Melin's inequality; symplectic manifold},
language = {eng},
pages = {1-8},
publisher = {Université de Nantes},
title = {Generalizations of Melin's inequality to systems},
url = {http://eudml.org/doc/93412},
year = {2001},
}

TY - JOUR
AU - Brummelhuis, Raymond
TI - Generalizations of Melin's inequality to systems
JO - Journées équations aux dérivées partielles
PY - 2001
PB - Université de Nantes
SP - 1
EP - 8
AB - We discuss a recent necessary and sufficient condition for Melin's inequality for a class of systems of pseudodifferential operators.
LA - eng
KW - pseudodifferential systems; Melin's inequality; symplectic manifold
UR - http://eudml.org/doc/93412
ER -

References

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  1. [B1] R. G. M. BrummelhuisSur les inégalités de Gårding pour les systèmes d'opérateurs pseudo-différentiels C. R. Acad. Sci. Paris Série I, 315, 149 - 152 1992. Zbl0754.35197MR1197227
  2. [B2] R. G. M. BrummelhuisOn Melin's inequality for systems, to appear in Comm. PDE. Earlier versions were available as CWI Report AM-R9111 1991 and Univ. de Reims prépublication 97.07 1997. 
  3. [BN] R. G. M. Brummelhuis and J. NourrigatA necessary and sufficient condition for Melin's inequality for a class of systems, Univ. De Reims prépublication 00.09 ( 2000), to appear in J. Analyse Math. Zbl1007.35112MR1869608
  4. [F] C. FeffermanThe uncertainty principle Bull. Amer. Math. Soc. 9, 129 - 206 1983. Zbl0526.35080MR707957
  5. [H] F. HérauOpérateurs pseudo-différentiels semi-bornés Thèse, Université de Rennes I 1999. 
  6. [H-SG] L. HörmanderPseudo-differential operators and non-elliptic boundary problems Ann. Math. 83, 129 - 209 1966. Zbl0132.07402MR233064
  7. [H-MA] L. HörmanderA class of hypoelliptic pseudo-differential operators with double characteristics Math. Ann. 217, 165 - 188 1975. Zbl0306.35032MR377603
  8. [H-JAM] L. HörmanderThe Cauchy problem for differential operators with double characteristics J. Analyse Math. 32, 118 - 196 1977. Zbl0367.35054MR492751
  9. [H-CPAM] L. HörmanderThe Weyl calculus of pseudo-differential operators Comm. Pure Appl. Math. 32, 359 - 443 1979. Zbl0388.47032MR517939
  10. [H-III] L. HörmanderThe analysis of linear partial differential operators III Grundlehren der mathematischen Wissenschaften 274, Springer-Verlag, Berlin - Heidelberg, 1985. Zbl0601.35001MR781536
  11. [LN] P. D. Lax and L. NirenbergOn stability for difference schemes: a sharp form of Gårdings inequality Comm. Pure Appl. Math. 19, 473 - 492 1966. Zbl0185.22801MR206534
  12. [M] A. MelinLower bounds for pseudo-differential operators, Ark. Mat. 9 117-140 1971. Zbl0211.17102MR328393
  13. [PP] C. Parenti and A. ParmeggianiLower bounds for systems with double characteristics preprint, 2000, to appear in J. Analyse Math. Zbl1055.35153MR1894477
  14. [Ta] M. TaylorPseudodifferential operators, Princeton Mathematical Series 34 Princeton University Press, Princeton, New Jersey, 1981. Zbl0453.47026MR618463

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