Scattering theory with two L 1 spaces : application to transport equations with obstacles

Mustapha Mokhtar-Kharroubi; Mohamed Chabi; Plamen Stefanov

Annales de la Faculté des sciences de Toulouse : Mathématiques (1997)

  • Volume: 6, Issue: 3, page 511-523
  • ISSN: 0240-2963

How to cite

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Mokhtar-Kharroubi, Mustapha, Chabi, Mohamed, and Stefanov, Plamen. "Scattering theory with two $L^1$ spaces : application to transport equations with obstacles." Annales de la Faculté des sciences de Toulouse : Mathématiques 6.3 (1997): 511-523. <http://eudml.org/doc/73431>.

@article{Mokhtar1997,
author = {Mokhtar-Kharroubi, Mustapha, Chabi, Mohamed, Stefanov, Plamen},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {wave operators; positive groups; limiting absorption principles; transport equations in exterior domains},
language = {eng},
number = {3},
pages = {511-523},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Scattering theory with two $L^1$ spaces : application to transport equations with obstacles},
url = {http://eudml.org/doc/73431},
volume = {6},
year = {1997},
}

TY - JOUR
AU - Mokhtar-Kharroubi, Mustapha
AU - Chabi, Mohamed
AU - Stefanov, Plamen
TI - Scattering theory with two $L^1$ spaces : application to transport equations with obstacles
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1997
PB - UNIVERSITE PAUL SABATIER
VL - 6
IS - 3
SP - 511
EP - 523
LA - eng
KW - wave operators; positive groups; limiting absorption principles; transport equations in exterior domains
UR - http://eudml.org/doc/73431
ER -

References

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  1. [1] Stefanov ( P.) .— Spectral and scattering theory for the linear Boltzmann equation in exterior domain, Math. Nachr.137 (1988), pp. 63-77. Zbl0661.45004MR968987
  2. [2] Mokhtar-Kharroubi ( M.) .— Limiting Absorption Principles and Wave Operators on L1 (μ) Spaces: Applications to Transport Theory, J. Funct. Anal.115 (1993), pp. 119-145. Zbl0802.47041MR1228144
  3. [3] Kato ( T.) .- Scattering theory with two Hilbert spaces, J. Funct. Anal.1 (1967), pp. 342-369. Zbl0171.12303MR220097
  4. [4] Birman ( M.S.) .- A local criterion for the existence of wave operators, Izv. Akad. Nauk SSSR, 32 (1968), pp. 914-942. Zbl0169.16903MR248558
  5. [5] Birman ( M.S.) .— Scattering problems for differential operators with perturbation of the space, Izv. Akad. Nauk SSSR, 35 (1971), pp. 440-455. Zbl0236.47011MR291868
  6. [6] Schechter ( M.) .— A unified approach to scattering, J. Math. pures et appl.53 (1974), pp. 373-396. Zbl0304.47010MR365183
  7. [7] Hejtmanek ( J.) . — Scattering theory of the linear Boltzmann operator, Comm. Math. Phys.43 (1975), pp. 109-120. Zbl0309.47009MR381604
  8. [8] Simon ( B.) .— Existence of the scattering matrix for linearized Boltzmann equation, Comm. Math. Phys.41 (1975), pp. 99-108. MR401026
  9. [9] Voigt ( J.).— On the existence of the scattering operator for the linear Boltzmann equation, J. Math. Anal. Appl.58 (1977), pp. 541-558. Zbl0372.47006MR449403

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