Upper Semicontinuous Perturbations of m-accretive Operators and Differential Inclusions with Dissipative Right-hand Side

Dieter Bothe

Banach Center Publications (1996)

  • Volume: 35, Issue: 1, page 139-148
  • ISSN: 0137-6934

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Bothe, Dieter. "Upper Semicontinuous Perturbations of m-accretive Operators and Differential Inclusions with Dissipative Right-hand Side." Banach Center Publications 35.1 (1996): 139-148. <http://eudml.org/doc/251304>.

@article{Bothe1996,
author = {Bothe, Dieter},
journal = {Banach Center Publications},
keywords = {-accretive; existence of strong solutions; multivalued differential equations; dissipative right-hand side},
language = {eng},
number = {1},
pages = {139-148},
title = {Upper Semicontinuous Perturbations of m-accretive Operators and Differential Inclusions with Dissipative Right-hand Side},
url = {http://eudml.org/doc/251304},
volume = {35},
year = {1996},
}

TY - JOUR
AU - Bothe, Dieter
TI - Upper Semicontinuous Perturbations of m-accretive Operators and Differential Inclusions with Dissipative Right-hand Side
JO - Banach Center Publications
PY - 1996
VL - 35
IS - 1
SP - 139
EP - 148
LA - eng
KW - -accretive; existence of strong solutions; multivalued differential equations; dissipative right-hand side
UR - http://eudml.org/doc/251304
ER -

References

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  1. [1] V. Barbu, Continuous perturbations of nonlinear m-accretive operators in Banach spaces, Boll. Un. Mat. Ital. (4) 6 (1972), 270-278. Zbl0256.47053
  2. [2] V. Barbu, Nonlinear Semigroups and Differential Equations in Banach Spaces, Noordhoff, Leyden 1976. Zbl0328.47035
  3. [3] L. Barthelemy, Equivalence entre bonne solution et solution forte d'une équation d'évolution gouvernée par un opérateur s.c.s, Publ. Math. Fac. Sci. Besançon, Anal. Non Linéaire, 1985-86, 9 (1986), 3-8. Zbl0624.47066
  4. [4] Ph. Benilan, M. G. Crandall and A. Pazy, Nonlinear Evolution Equations in Banach Spaces. (book in preparation). 
  5. [5] D. Bothe, Multivalued differential equations with time-dependent constraints, Proc. of the 1. World Congress of Nonlinear Analysts (to appear). Zbl0846.34010
  6. [6] M. G. Crandall and T. M. Liggett, Generation of semi-groups of nonlinear transformations on general Banach spaces, Amer. J. Math. 93 (1971), 265-298. Zbl0226.47038
  7. [7] K. Deimling, Multivalued Differential Equations, W. De Gruyter, Berlin 1992. 
  8. [8] J. Diestel, W. M. Ruess and W. Schachermayer, Weak compactness in L 1 ( μ , X ) , Proc. Amer. Math. Soc. 118 (1993), 447-453. Zbl0785.46037
  9. [9] N. Kenmochi and T. Takahashi Nonautonomous differential equations in Banach spaces, Nonlinear Analysis, 4 (1980), 1109-1121. Zbl0452.34053
  10. [10] Y. Kobayashi, Difference approximation of Cauchy problems for quasi-dissipative operators and generation of nonlinear semigroups, J. Math. Soc. Japan 27 (1975), 640-665. Zbl0313.34068
  11. [11] K. Kobayasi, Y. Kobayashi and S. Oharu, Nonlinear evolution operators in Banach spaces, Osaka J. Math. 21 (1984), 281-310. Zbl0567.47047
  12. [12] N. H. Pavel, Nonlinear Evolution Operators and Semigroups. Lect. Notes Math. 1260, Springer 1987. 
  13. [13] M. Pierre, Perturbations localement Lipschitziennes et continues d'opérateurs m-accretifs, Proc. Amer. Math. Soc. 58 (1976), 124-128. Zbl0308.47047
  14. [14] J. Prüss, A characterization of uniform convexity and applications to accretive operators, Hiroshima Math. J. 11 (1981), 229-234. Zbl0464.47035

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