On trace theorems for pseudo-differential operators

N. Lerner; D. Yafaev

Séminaire Équations aux dérivées partielles (Polytechnique) (1995-1996)

  • page 1-18

How to cite

top

Lerner, N., and Yafaev, D.. "On trace theorems for pseudo-differential operators." Séminaire Équations aux dérivées partielles (Polytechnique) (1995-1996): 1-18. <http://eudml.org/doc/112135>.

@article{Lerner1995-1996,
author = {Lerner, N., Yafaev, D.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {density bundle; polyhomogeneous pseudo-differential operators; Born approximation of the scattering matrix; higher order invariants; principal symbol; subprincipal symbol},
language = {eng},
pages = {1-18},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {On trace theorems for pseudo-differential operators},
url = {http://eudml.org/doc/112135},
year = {1995-1996},
}

TY - JOUR
AU - Lerner, N.
AU - Yafaev, D.
TI - On trace theorems for pseudo-differential operators
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1995-1996
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 18
LA - eng
KW - density bundle; polyhomogeneous pseudo-differential operators; Born approximation of the scattering matrix; higher order invariants; principal symbol; subprincipal symbol
UR - http://eudml.org/doc/112135
ER -

References

top
  1. [BY1] M.S. Birman, D.R. Yafaev, Asymptotic behaviour of the limiting phase shifts in the case of a potential without spherical symmetry, Theor.Math.Phys. 51, 344-350, (1982). MR672765
  2. [BY2] M.S. Birman, D.R. Yafaev, Asymptotics of the spectrum of the scattering matrix, J. Soviet Math., 25, 1(1984). Zbl0531.35062
  3. [B] J.M. Bony, Second microlocalization and propagation of singularities for semi-linear hyperbolic equations, Hyperbolic Equations and related topics, Mizohata éd. Kinokunya, 11-49, (1986). Zbl0669.35073MR925240
  4. [BL] J.M. Bony, N. Lerner, Quantification asymptotique et microlocalisations d'ordre supérieur, Ann.Sci.ENS. 4, t.22, 377- 433, (1989). Zbl0753.35005MR1011988
  5. [B1] L.Boutet de Monvel, Comportement d'un opérateur pseudo-différentiel sur une variété à bord, Journ. Anal. Math., 17, 241-304, (1966). Zbl0161.07902MR239254
  6. [B2] L.Boutet de Monvel, Boundary value problems for pseudo-differential operators, Acta Math., 126, 11-51,(1971). Zbl0206.39401MR407904
  7. [DL] J.M. Delort, G. Lebeau, Microfonctions lagrangiennes, J.Math.Pures.Appl., 9ème série, 67, 39-84, (1988). Zbl0659.46042MR932147
  8. [GK] I.C. Gohberg, M.G. Krein, Introduction à la théorie des opérateurs linéaires non autoadjoints dans un espace hilbertien, Dunod, Paris,(1971). MR350445
  9. [GH] G. Grubb, L. Hörmander, The transmission property, Math. Scand., 67, 2, 273-289, (1990). Zbl0766.35088MR1096462
  10. [He] B. Helffer, Invariants associés à une classe d'opérateurs pseudo-différentiels et applications à l'hypoellipticité, Ann. Inst. Fourier, 26, 2, (1976). Zbl0301.35026MR413199
  11. [H] L. Hörmander, The analysis of linear partial differential operators III, Springer-Verlag, (1985). Zbl0601.35001MR781536
  12. [Y1] D.R. Yafaev, Mathematical scattering theory, Transl. of Math. Monograph, 105, AMS, (1992). Zbl0761.47001MR1180965
  13. [Y2] D.R. Yafaev, Resolvent estimates and scattering matrix for N-particle hamiltonians, Int.Equ.Op.Th., 21, 1, 93-126, (1995). Zbl0823.47010MR1307053

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.