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Volumn 310, Issue 2, 2005, Pages 594-608

The asymptotic behavior of the solutions of the Cauchy problem generated by Φ-accretive operators

Author keywords

Accretive operator; Asymptotic behavior; Nonexpansive semigroup; Stationary point

Indexed keywords


EID: 24044446822     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2005.02.027     Document Type: Article
Times cited : (21)

References (22)
  • 1
    • 0013173652 scopus 로고
    • Stabilization of solutions of the filtration equation with absorption and non-linear flux
    • F. Andreu J.M. Mazón J. Toledo Stabilization of solutions of the filtration equation with absorption and non-linear flux NoDEA 2 1995 267-289
    • (1995) NoDEA , vol.2 , pp. 267-289
    • Andreu, F.1    Mazón, J.M.2    Toledo, J.3
  • 3
    • 18644372006 scopus 로고    scopus 로고
    • The total variation flow with nonlinear boundary conditions
    • in press
    • F. Andreu, J.M. Mazón, J.S. Moll, The total variation flow with nonlinear boundary conditions, Asymptot. Anal., in press
    • Asymptot. Anal.
    • Andreu, F.1    Mazón, J.M.2    Moll, J.S.3
  • 5
    • 0002357757 scopus 로고
    • Completely accretive operators
    • Ph. Clément E. Mitidieri B. de Payter (Eds.) Semigroup Theory and Evolution Equations Dekker
    • Ph. Bénilan M.G. Crandall Completely accretive operators in: Ph. Clément E. Mitidieri B. de Payter (Eds.) Semigroup Theory and Evolution Equations in: Lecture Notes in Pure and Appl. Math. vol. 135 1991 Dekker
    • (1991) Lecture Notes in Pure and Appl. Math. , vol.135
    • Bénilan, Ph.1    Crandall, M.G.2
  • 6
    • 0004338276 scopus 로고    scopus 로고
    • Evolution equations governed by accretive operators
    • in preparation
    • Ph. Bénilan, M.G. Crandall, A. Pazy, Evolution equations governed by accretive operators, in preparation
    • Bénilan, Ph.1    Crandall, M.G.2    Pazy, A.3
  • 7
    • 0002239265 scopus 로고
    • Monotonicity methods in Hilbert space and some applications to nonlinear partial differential equations
    • E.H. Zarantonello (Ed.) Academic Press New York
    • H. Brézis Monotonicity methods in Hilbert space and some applications to nonlinear partial differential equations in: E.H. Zarantonello (Ed.) Contributions to Nonlinear Functional Analysis 1971 Academic Press New York 101-156
    • (1971) Contributions to Nonlinear Functional Analysis , pp. 101-156
    • Brézis, H.1
  • 8
    • 0004291558 scopus 로고
    • Operateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert
    • Amsterdam: North-Holland
    • H. Brézis Operateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert 1973 North-Holland Amsterdam
    • (1973)
    • Brézis, H.1
  • 9
    • 84968488194 scopus 로고
    • Nonlinear accretive operators in Banach spaces
    • F.E. Browder Nonlinear accretive operators in Banach spaces Bull. Amer. Math. Soc. 73 1967 470-476
    • (1967) Bull. Amer. Math. Soc. , vol.73 , pp. 470-476
    • Browder, F.E.1
  • 10
    • 0006915012 scopus 로고    scopus 로고
    • On the ranges of nonlinear set-valued accretive operators in Banach spaces
    • Y.-Q. Chen On the ranges of nonlinear set-valued accretive operators in Banach spaces J. Math. Anal. Appl. 233 1999 827-842
    • (1999) J. Math. Anal. Appl. , vol.233 , pp. 827-842
    • Chen, Y.-Q.1
  • 12
    • 0000018252 scopus 로고
    • Generation of semigroups of nonlinear transformations on general Banach spaces
    • M.G. Crandall T. Liggett Generation of semigroups of nonlinear transformations on general Banach spaces Amer. J. Math. 93 1971 265-298
    • (1971) Amer. J. Math. , vol.93 , pp. 265-298
    • Crandall, M.G.1    Liggett, T.2
  • 13
    • 22944487032 scopus 로고    scopus 로고
    • Existence theorems for m-accretive operators in Banach spaces
    • in press
    • J. García-Falset, C.H. Morales, Existence theorems for m-accretive operators in Banach spaces, J. Math. Anal. Appl., in press
    • J. Math. Anal. Appl.
    • García-Falset, J.1    Morales, C.H.2
  • 14
    • 0343844132 scopus 로고    scopus 로고
    • Weak convergence theorems for asymptotically nonexpansive mappings and semigroups
    • J. García-Falset W. Kaczor T. Kuczumow S. Reich Weak convergence theorems for asymptotically nonexpansive mappings and semigroups Nonlinear Anal. 43 2001 377-401
    • (2001) Nonlinear Anal. , vol.43 , pp. 377-401
    • García-Falset, J.1    Kaczor, W.2    Kuczumow, T.3    Reich, S.4
  • 15
    • 84972539029 scopus 로고
    • Nonlinear semigroups and evolution equations
    • T. Kato Nonlinear semigroups and evolution equations J. Math. Soc. Japan 19 1967 508-520
    • (1967) J. Math. Soc. Japan , vol.19 , pp. 508-520
    • Kato, T.1
  • 16
    • 0001372721 scopus 로고
    • On the asymptotic behavior of almost-orbits of nonlinear contraction semigroups in Banach spaces
    • K. Kobayashi I. Miyadera On the asymptotic behavior of almost-orbits of nonlinear contraction semigroups in Banach spaces Nonlinear Anal. 6 1982 349-365
    • (1982) Nonlinear Anal. , vol.6 , pp. 349-365
    • Kobayashi, K.1    Miyadera, I.2
  • 17
    • 33746027163 scopus 로고
    • Differential equations on closed subsets of a Banach space
    • R.H. Martin Jr. Differential equations on closed subsets of a Banach space Trans. Amer. Math. Soc. 179 1973 399-414
    • (1973) Trans. Amer. Math. Soc. , vol.179 , pp. 399-414
    • Martin Jr., R.H.1
  • 18
    • 51249185817 scopus 로고
    • Strong convergence of contraction semigroups and of iterative methods for accretive operators in Banach spaces
    • O. Nevanlinna S. Reich Strong convergence of contraction semigroups and of iterative methods for accretive operators in Banach spaces Israel J. Math. 32 1979 44-58
    • (1979) Israel J. Math. , vol.32 , pp. 44-58
    • Nevanlinna, O.1    Reich, S.2
  • 19
    • 0007986486 scopus 로고
    • On the asymptotic behavior of semigroups of nonlinear contractions in Hilbert spaces
    • A. Pazy On the asymptotic behavior of semigroups of nonlinear contractions in Hilbert spaces J. Funct. Anal. 27 1978 292-307
    • (1978) J. Funct. Anal. , vol.27 , pp. 292-307
    • Pazy, A.1
  • 20
    • 24044532364 scopus 로고
    • Strong convergence of semigroups of nonlinear contractions in Hilbert spaces
    • A. Pazy, Strong convergence of semigroups of nonlinear contractions in Hilbert spaces, MRC Reports 1828, 1978
    • (1978) MRC Reports 1828
    • Pazy, A.1
  • 21
    • 51249183526 scopus 로고
    • The Lyapunov method for semigroups of nonlinear contractions in Banach spaces
    • A. Pazy The Lyapunov method for semigroups of nonlinear contractions in Banach spaces J. Anal. Math. 40 1981 239-262
    • (1981) J. Anal. Math. , vol.40 , pp. 239-262
    • Pazy, A.1
  • 22
    • 0035480437 scopus 로고    scopus 로고
    • Strong asymptotic behavior of almost-orbits of nonlinear semigroups
    • H.K. Xu Strong asymptotic behavior of almost-orbits of nonlinear semigroups Nonlinear Anal. 46 2001 135-151
    • (2001) Nonlinear Anal. , vol.46 , pp. 135-151
    • Xu, H.K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.