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Volumn 199, Issue 1, 2004, Pages 1-21

A non-smooth version of the Lojasiewicz-Simon theorem with applications to non-local phase-field systems

Author keywords

Convergence to stationary states; Non local phase field model; Simon Lojasiewics theorem

Indexed keywords


EID: 1842843827     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jde.2003.10.026     Document Type: Article
Times cited : (42)

References (20)
  • 1
    • 0001834401 scopus 로고    scopus 로고
    • Global existence and uniqueness of solutions to a nonlocal phase-field system
    • P.W. Bates, S.-N. Chow, K. Lu, X. Pan (Eds.), International Press, Hangzhou
    • P.W. Bates, F. Chen, J. Wang, Global existence and uniqueness of solutions to a nonlocal phase-field system, in: P.W. Bates, S.-N. Chow, K. Lu, X. Pan (Eds.), Differential Equations and Applications, International Press, Hangzhou, 1996, pp. 14-21.
    • (1996) Differential Equations and Applications , pp. 14-21
    • Bates, P.W.1    Chen, F.2    Wang, J.3
  • 2
    • 0033147645 scopus 로고    scopus 로고
    • An integrodifferential model for phase transitions: Stationary solutions in higher space dimensions
    • P.W. Bates, A. Chmaj, An integrodifferential model for phase transitions: stationary solutions in higher space dimensions, J. Statist. Phys. 95 (1999) 1119-1139.
    • (1999) J. Statist. Phys. , vol.95 , pp. 1119-1139
    • Bates, P.W.1    Chmaj, A.2
  • 4
    • 1842866749 scopus 로고
    • Operateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert, North-Holland, Amsterdam
    • H. Brezis, Operateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert, North-Holland, Amsterdam, 1973.
    • (1973)
    • Brezis, H.1
  • 5
    • 34250131162 scopus 로고
    • An analysis of a phase field model of a free boundary
    • G. Caginalp, An analysis of a phase field model of a free boundary, Arch. Rational Mech. Anal. 92 (1986) 205-246.
    • (1986) Arch. Rational Mech. Anal. , vol.92 , pp. 205-246
    • Caginalp, G.1
  • 6
    • 3543021151 scopus 로고    scopus 로고
    • Sharp interface limit for nonlocal phase field equations
    • Preprint, Max Planck Institute for Mathematics in Sciences, Bonn
    • N. Dirr, Sharp interface limit for nonlocal phase field equations, Preprint, Max Planck Institute for Mathematics in Sciences, Bonn, 2002.
    • (2002)
    • Dirr, N.1
  • 7
    • 0005340388 scopus 로고    scopus 로고
    • Convergence for semilinear degenerate parabolic equations in several space dimensions
    • E. Feireisl, F. Simondon, Convergence for semilinear degenerate parabolic equations in several space dimensions, J. Dynamics Differential Equations 12 (3) (2000) 647-673.
    • (2000) J. Dynamics Differential Equations , vol.12 , Issue.3 , pp. 647-673
    • Feireisl, E.1    Simondon, F.2
  • 8
    • 85030882142 scopus 로고    scopus 로고
    • On a nonlocal model of non-isothermal phase separation
    • Preprint 671, Weierstrass Institute, Berlin
    • H. Gajewski, On a nonlocal model of non-isothermal phase separation, Preprint 671, Weierstrass Institute, Berlin, 2001.
    • (2001)
    • Gajewski, H.1
  • 9
    • 0038651481 scopus 로고    scopus 로고
    • On a nonlocal phase separation model
    • Preprint 656, Weierstrass Institute, Berlin
    • H. Gajewski, K. Zacharias, On a nonlocal phase separation model, Preprint 656, Weierstrass Institute, Berlin, 2001.
    • (2001)
    • Gajewski, H.1    Zacharias, K.2
  • 10
    • 0000746952 scopus 로고    scopus 로고
    • Convergence of solutions of second-order gradient-like systems with analytic nonlinearities
    • A. Haraux, M.A. Jendoubi, Convergence of solutions of second-order gradient-like systems with analytic nonlinearities, J. Differential Equations 144 (1998) 313-320.
    • (1998) J. Differential Equations , vol.144 , pp. 313-320
    • Haraux, A.1    Jendoubi, M.A.2
  • 12
    • 0003896053 scopus 로고
    • Problèmes aux limites non homogènes et applications
    • I, Dunod, Gauthier-Villars, Paris
    • J.-L. Lions, E. Magenes, Problèmes aux limites non homogènes et applications, I, Dunod, Gauthier-Villars, Paris, 1968.
    • (1968)
    • Lions, J.-L.1    Magenes, E.2
  • 13
    • 1842833931 scopus 로고
    • Une propriété topologique des sous ensembles analytiques réels, Colloques du CNRS, Les équations aux dérivées partielles, Paris
    • S. Lojasiewicz, Une propriété topologique des sous ensembles analytiques réels, Colloques du CNRS, Les équations aux dérivées partielles, Paris, Vol. 117, 1963.
    • (1963) , vol.117
    • Lojasiewicz, S.1
  • 14
    • 33745176729 scopus 로고    scopus 로고
    • Parabolic equations: Asymptotic behavior and dynamics on invariant manifolds
    • Section D, Elsevier Science, Amsterdam
    • P. Poláčik, Parabolic equations: asymptotic behavior and dynamics on invariant manifolds, Handbook of Dynamical Systems, Vol. II, Section D, Elsevier Science, Amsterdam, 2002, pp. 835-884.
    • (2002) Handbook of Dynamical Systems , vol.2 , pp. 835-884
    • Poláčik, P.1
  • 15
    • 0000137102 scopus 로고
    • Asymptotics for a class of non-linear evolution equations, with applications to geometric problems
    • L. Simon, Asymptotics for a class of non-linear evolution equations, with applications to geometric problems, Ann. Math. 118 (1983) 525-571.
    • (1983) Ann. Math. , vol.118 , pp. 525-571
    • Simon, L.1
  • 16
    • 85030879089 scopus 로고    scopus 로고
    • Global existence and asymptotic behaviour for a nonlocal phase-field model for non-isothermal phase transitions
    • Preprint 698, Weierstrass Institute, Berlin
    • J. Sprekels, S. Zheng, Global existence and asymptotic behaviour for a nonlocal phase-field model for non-isothermal phase transitions, Preprint 698, Weierstrass Institute, Berlin, 2001.
    • (2001)
    • Sprekels, J.1    Zheng, S.2
  • 17
    • 0034362091 scopus 로고    scopus 로고
    • Stabilization of positive solutions for analytic gradient-like systems
    • P. Takáč, Stabilization of positive solutions for analytic gradient-like systems, Discrete Contin. Dynamical Systems 6 (2000) 701-727.
    • (2000) Discrete Contin. Dynamical Systems , vol.6 , pp. 701-727
    • Takáč, P.1
  • 19
    • 0037055764 scopus 로고    scopus 로고
    • Metastability and stability of patterns in a convolution model for phase transitions
    • X. Wang, Metastability and stability of patterns in a convolution model for phase transitions, J. Differential Equations 183 (2002) 434-461.
    • (2002) J. Differential Equations , vol.183 , pp. 434-461
    • Wang, X.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.