Remarks on relativistic Schrödinger operators and their extensions

Matania Ben-Artzi; Jonathan Nemirovsky

Annales de l'I.H.P. Physique théorique (1997)

  • Volume: 67, Issue: 1, page 29-39
  • ISSN: 0246-0211

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Ben-Artzi, Matania, and Nemirovsky, Jonathan. "Remarks on relativistic Schrödinger operators and their extensions." Annales de l'I.H.P. Physique théorique 67.1 (1997): 29-39. <http://eudml.org/doc/76760>.

@article{Ben1997,
author = {Ben-Artzi, Matania, Nemirovsky, Jonathan},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {limiting absorption principles; continuous spectrum; extended resolvents},
language = {eng},
number = {1},
pages = {29-39},
publisher = {Gauthier-Villars},
title = {Remarks on relativistic Schrödinger operators and their extensions},
url = {http://eudml.org/doc/76760},
volume = {67},
year = {1997},
}

TY - JOUR
AU - Ben-Artzi, Matania
AU - Nemirovsky, Jonathan
TI - Remarks on relativistic Schrödinger operators and their extensions
JO - Annales de l'I.H.P. Physique théorique
PY - 1997
PB - Gauthier-Villars
VL - 67
IS - 1
SP - 29
EP - 39
LA - eng
KW - limiting absorption principles; continuous spectrum; extended resolvents
UR - http://eudml.org/doc/76760
ER -

References

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  1. [1] S. Agmon, Spectral properties of Schrödinger operators and scattering theory, Ann. Scula Norm. Sup. Pisa, Vol. 2, 1975, (4), pp. 151-218. Zbl0315.47007MR397194
  2. [2] M. Ben-Artzi, Regularity and Smoothing for some Equations of Evolution in Nonlinear Partial Differential Equations and Their Applications, Vol. 11, 1994, pp. 1-12, Pittman Publ. MR1268897
  3. [3] M. Ben-Artzi, Y. Dermenjian and J.C. Guillot, Acoustic waves in perturbed stratified fluids: A spectral theory, Comm. in PDE, Vol. 14, 1989, (4), pp. 479-517. Zbl0675.35065MR989667
  4. [4] M. Ben-Artzi and A. Devinatz, The limiting absorption principle for partial differential operators, Memoirs Amer. Math. Soc., Vol. 66, 1987, (364). Zbl0624.35068MR878907
  5. [5] M. Ben-Artzi and A. Devinatz, Local Smoothing and Convergence Properties for Schrödinger-Type Equations, J. Func. Anal., Vol. 101, 1991, pp. 231-254. Zbl0762.35022MR1136935
  6. [6] M. Ben-Artzi and S. Klainerman, Decay and Regularity for the Schrödinger Equation, J. d'Analyse Math., Vol. 58, 1992, pp. 25-37. Zbl0802.35057MR1226935
  7. [7] Pl. Muthuramalingam, Spectral properties of vaguely elliptic pseudodifferential with momentum-dependent long-range potentials using time-dependent scattering theory, J. Math. Phys., Vol. 25, 1984, 6, pp. 1881-1889. Zbl0557.35104MR746272
  8. [8] B. Simon, Phase space analysis of simple scattering systems: extensions of some work of Enss, Duke Math. J., Vol. 46, 1979, pp. 119-165. Zbl0402.35076MR523604
  9. [9] T. Umeda, Radiation conditions and resolvent estimates of relativistic Schrödinger operators, Ann. Inst. H. Poincaré - Physique theorique, Vol. 63, 1995, 3, pp. 277-296. Zbl0844.47030MR1363536

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