Generalizations of Melin's inequality to systems
Journées équations aux dérivées partielles (2001), article no. 1, 8 p.

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

@incollection{JEDP_2001____A1_0,
     author = {Raymond Brummelhuis},
     title = {Generalizations of {Melin's} inequality to systems},
     booktitle = {},
     series = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     eid = {1},
     pages = {1--8},
     publisher = {Universit\'e de Nantes},
     year = {2001},
     doi = {10.5802/jedp.585},
     zbl = {1054.35153},
     mrnumber = {1843402},
     language = {en},
     url = {https://proceedings.centre-mersenne.org/articles/10.5802/jedp.585/}
}
TY  - JOUR
AU  - Raymond Brummelhuis
TI  - Generalizations of Melin's inequality to systems
JO  - Journées équations aux dérivées partielles
PY  - 2001
SP  - 1
EP  - 8
PB  - Université de Nantes
UR  - https://proceedings.centre-mersenne.org/articles/10.5802/jedp.585/
DO  - 10.5802/jedp.585
LA  - en
ID  - JEDP_2001____A1_0
ER  - 
%0 Journal Article
%A Raymond Brummelhuis
%T Generalizations of Melin's inequality to systems
%J Journées équations aux dérivées partielles
%D 2001
%P 1-8
%I Université de Nantes
%U https://proceedings.centre-mersenne.org/articles/10.5802/jedp.585/
%R 10.5802/jedp.585
%G en
%F JEDP_2001____A1_0
Raymond Brummelhuis. Generalizations of Melin's inequality to systems. Journées équations aux dérivées partielles (2001), article  no. 1, 8 p. doi : 10.5802/jedp.585. https://proceedings.centre-mersenne.org/articles/10.5802/jedp.585/

[B1] R. G. M. Brummelhuis Sur les inégalités de Gårding pour les systèmes d'opérateurs pseudo-différentiels C. R. Acad. Sci. Paris Série I, 315, 149 - 152 1992. | MR | Zbl

[B2] R. G. M. Brummelhuis On 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.

[BN] R. G. M. Brummelhuis and J. Nourrigat A 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. | MR | Zbl

[F] C. Fefferman The uncertainty principle Bull. Amer. Math. Soc. 9, 129 - 206 1983. | MR | Zbl

[H] F. Hérau Opérateurs pseudo-différentiels semi-bornés Thèse, Université de Rennes I 1999.

[H-SG] L. Hörmander Pseudo-differential operators and non-elliptic boundary problems Ann. Math. 83, 129 - 209 1966. | MR | Zbl

[H-MA] L. Hörmander A class of hypoelliptic pseudo-differential operators with double characteristics Math. Ann. 217, 165 - 188 1975. | MR | Zbl

[H-JAM] L. Hörmander The Cauchy problem for differential operators with double characteristics J. Analyse Math. 32, 118 - 196 1977. | MR | Zbl

[H-CPAM] L. Hörmander The Weyl calculus of pseudo-differential operators Comm. Pure Appl. Math. 32, 359 - 443 1979. | MR | Zbl

[H-III] L. Hörmander The analysis of linear partial differential operators III Grundlehren der mathematischen Wissenschaften 274, Springer-Verlag, Berlin - Heidelberg, 1985. | MR | Zbl

[LN] P. D. Lax and L. Nirenberg On stability for difference schemes: a sharp form of Gårdings inequality Comm. Pure Appl. Math. 19, 473 - 492 1966. | MR | Zbl

[M] A. Melin Lower bounds for pseudo-differential operators, Ark. Mat. 9 117-140 1971. | MR | Zbl

[PP] C. Parenti and A. Parmeggiani Lower bounds for systems with double characteristics preprint, 2000, to appear in J. Analyse Math. | MR | Zbl

[Ta] M. Taylor Pseudodifferential operators, Princeton Mathematical Series 34 Princeton University Press, Princeton, New Jersey, 1981. | MR | Zbl

Cited by Sources: