Générateur des semi-groupes non linéaires et la formule de Lie-Trotter

Philippe Bénilan; Samir Ismail

Annales de la Faculté des sciences de Toulouse : Mathématiques (1985)

  • Volume: 7, Issue: 2, page 151-160
  • ISSN: 0240-2963

How to cite

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Bénilan, Philippe, and Ismail, Samir. "Générateur des semi-groupes non linéaires et la formule de Lie-Trotter." Annales de la Faculté des sciences de Toulouse : Mathématiques 7.2 (1985): 151-160. <http://eudml.org/doc/73174>.

@article{Bénilan1985,
author = {Bénilan, Philippe, Ismail, Samir},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {continuous semi-group of nonlinear contractions on a Banach space; graph infinitesimal generator; m-accretive operator; Lie-Trotter formula},
language = {fre},
number = {2},
pages = {151-160},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Générateur des semi-groupes non linéaires et la formule de Lie-Trotter},
url = {http://eudml.org/doc/73174},
volume = {7},
year = {1985},
}

TY - JOUR
AU - Bénilan, Philippe
AU - Ismail, Samir
TI - Générateur des semi-groupes non linéaires et la formule de Lie-Trotter
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1985
PB - UNIVERSITE PAUL SABATIER
VL - 7
IS - 2
SP - 151
EP - 160
LA - fre
KW - continuous semi-group of nonlinear contractions on a Banach space; graph infinitesimal generator; m-accretive operator; Lie-Trotter formula
UR - http://eudml.org/doc/73174
ER -

References

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  1. [1] Barbu V.«Nonlinear semigroups and differential equations in Banach spaces». Noordhoff International Publishing, 1976. Zbl0328.47035MR390843
  2. [2] Benilan Ph.«Equations d'évolution dans un espace de Banach quelconque et applications». Thèse, Orsay, 1972. 
  3. [3] Benilan Ph.«Evolution equations and accretive operators». Lecture notes, Spring1981, University of Kentucky, Lexington. 
  4. [4] Benilan Ph., Crandall M.C., Pazy A.«Evolution equations governed by accretive operator». Livre à paraître. 
  5. [5] Brezis H., Pazy A.«Convergence and approximation of semigroups of nonlinear operators in Banach spaces». J. Funct. Ana.9,1972, 63-74. Zbl0231.47036MR293452
  6. [6] Crandall M.C., Liggett T.«Generation of semigroups of nonlinear transformations on general Banach spaces». Amer. J. Math.93, 1971, 265-298. Zbl0226.47038MR287357
  7. [7] Crandall M.C., Liggett T.«A theorem and a counterexemple in the theory of semigroups of nonlinear transformations». Trans. of the Amer. Math. Soc., vol 160, 1971, 263-278. Zbl0226.47037MR301592
  8. [8] Kobayashi Y.«Difference approximation of Cauchy problems for quasi-dissipative operators and generation of nonlinear semigroups». J. Math., Soc. Japan, vol. 27, n° 4, 1975. Zbl0313.34068MR399974
  9. [9] Reich S.«Product formulas, nonlinear semigroups and accretive operators». J. Funct Ana.36,1980,147-168. Zbl0437.47048MR569251
  10. [10] Brezis H.«Opérateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert». Amsterdam, North-Holland Publ. Co, 1973. Zbl0252.47055MR348562

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