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Evolution equations associated with time-dependent subdifferentials

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In this paper we study the solvability of parabolic equations governed by the difference of time dependent subdifferential and time independent subdifferential in reflexive Banach spaces.

Abstract

In this paper we study the solvability of parabolic equations governed by the difference of time dependent subdifferential and time independent subdifferential in reflexive Banach spaces.

참고문헌 (11)

  1. R. A. Adams, "Sobolev Spaces" (1975), Academic Press
  2. G. Akagi, "Doubly nonlinear evolution equations governed by time-dependent subdiffer- entials in re exive Banach spaces", J. Differential Equations, 231(1), pp.32~56 (2006)
  3. G. Akagi, "Evolution inclusions governed by the difference of two sub- differentials in re exive Banach spaces", J. Differential Equations, 209(2), pp.392~415 (2005)
  4. G. Akagi, "Time-dependent constraint problems arising from macroscopic critical-state models for type-II superconductivity and their approximations", Adv. Math. Sci. Appl, 14(2), pp.683~712 (2004)
  5. V. Barbu, "Nonlinear Semigroups and Differential Equations in Banach Spaces" (1976), Noord- hoff Intl. Publ
  6. H. Brezis, "Operateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert" (1973), Math. Studies
  7. H. Ishii, "Asymptotic stability and blowing up of solutions of some nonlinear equations", J. Differential Equations, 26(2), pp.291~319 (1977)
  8. N. Kenmochi, "Some nonlinear parabolic variational inequalities", Israel J. Math, 22(3), pp.304~331 (1975)
  9. Y. Koi, "On nonlinear evolution equations with a difference term of subdifferentials", Proc. Japan Acad, 52(8), pp.413~416 (1976)
  10. J. L. Lions, "Quelques methodes de resolution des problemes aux limites non lineaires" (1969), Dunod; Gauthier-Villars
  11. M. ^ Otani, "Nonmonotone perturbations for nonlinear parabolic equations associated with subdifferential operators", J. Differential Equations, 46(2), pp.268~299 (1982)

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