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Volumn 160, Issue 2, 2000, Pages 283-356

Equilibria with many nuclei for the Cahn-Hilliard equation

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EID: 0034687912     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1999.3660     Document Type: Article
Times cited : (80)

References (31)
  • 1
    • 44949275928 scopus 로고
    • Slow motion for the Cahn-Hilliard equation in one space dimension
    • Alikakos N. D., Bates P. W., Fusco G. Slow motion for the Cahn-Hilliard equation in one space dimension. J. Differential Equations. 90:1990;81-135.
    • (1990) J. Differential Equations , vol.90 , pp. 81-135
    • Alikakos, N.D.1    Bates, P.W.2    Fusco, G.3
  • 2
    • 84963254790 scopus 로고
    • Slow dynamics for the Cahn-Hilliard equation in higher space dimensions. Part I. Spectral estimates
    • Alikakos N. D., Fusco G. Slow dynamics for the Cahn-Hilliard equation in higher space dimensions. Part I. Spectral estimates. Comm. Partial Differential Equations. 19:1994;1397-1447.
    • (1994) Comm. Partial Differential Equations , vol.19 , pp. 1397-1447
    • Alikakos, N.D.1    Fusco, G.2
  • 3
    • 0032397594 scopus 로고    scopus 로고
    • Slow dynamics for the Cahn-Hilliard equation in higher space dimensions. Part II. The motion of bubbles
    • Alikakos N. D., Fusco G. Slow dynamics for the Cahn-Hilliard equation in higher space dimensions. Part II. The motion of bubbles. Arch. Rational Mech. Anal. 141:1998;1-61.
    • (1998) Arch. Rational Mech. Anal. , vol.141 , pp. 1-61
    • Alikakos, N.D.1    Fusco, G.2
  • 4
    • 84894599571 scopus 로고    scopus 로고
    • Multi-spike stationary solutions of the Cahn-Hilliard equation in higher-dimension and instability
    • Bates P. W., Dancer E. N., Shi J. Multi-spike stationary solutions of the Cahn-Hilliard equation in higher-dimension and instability. Adv. Differential Equations. 4:1999;1-69.
    • (1999) Adv. Differential Equations , vol.4 , pp. 1-69
    • Bates, P.W.1    Dancer, E.N.2    Shi, J.3
  • 5
    • 33748109655 scopus 로고    scopus 로고
    • Existence and persistence of invariant manifolds for semiflows in Banach space
    • Bates P. W., Lu K., Zeng C. Existence and persistence of invariant manifolds for semiflows in Banach space. Mem. Amer. Math. Soc. 645:1998.
    • (1998) Mem. Amer. Math. Soc. , vol.645
    • Bates, P.W.1    Lu, K.2    Zeng, C.3
  • 6
    • 45149136104 scopus 로고
    • Spectral comparison principles for the Cahn-Hilliard and phase-field equations, and the scales for coarsening
    • Bates P. W., Fife P. C. Spectral comparison principles for the Cahn-Hilliard and phase-field equations, and the scales for coarsening. Phys. D. 43:1990;335-348.
    • (1990) Phys. D , vol.43 , pp. 335-348
    • Bates, P.W.1    Fife, P.C.2
  • 7
    • 0027647619 scopus 로고
    • The dynamics of nucleation for the Cahn-Hilliard equation
    • Bates P. W., Fife P. C. The dynamics of nucleation for the Cahn-Hilliard equation. SIAM J. Appl. Math. 53:1993;990-1008.
    • (1993) SIAM J. Appl. Math. , vol.53 , pp. 990-1008
    • Bates, P.W.1    Fife, P.C.2
  • 8
    • 0000860177 scopus 로고    scopus 로고
    • Multipeak solutions for a semilinear Neumann problem
    • Gui C. Multipeak solutions for a semilinear Neumann problem. Duke Math. J. 84:1996;739-769.
    • (1996) Duke Math. J. , vol.84 , pp. 739-769
    • Gui, C.1
  • 13
    • 0003304963 scopus 로고
    • Geometric Theory of Semilinear Parabolic Equations
    • New York/Berlin: Springer-Verlag
    • Henry D. Geometric Theory of Semilinear Parabolic Equations. Lecture Notes in Math. 840:1981;Springer-Verlag, New York/Berlin.
    • (1981) Lecture Notes in Math , vol.840
    • Henry, D.1
  • 15
    • 0002142212 scopus 로고    scopus 로고
    • On a singularly perturbed equation with Neumann boundary conditions
    • in press
    • Y. Y. Li, On a singularly perturbed equation with Neumann boundary conditions, Comm. Partial Differential Equations, in press.
    • Comm. Partial Differential Equations
    • Li, Y.Y.1
  • 16
    • 0002542873 scopus 로고
    • Large amplitude stationary solutions to a chemo-taxis systems
    • Lin C.-S., Ni W.-M., Takagi I. Large amplitude stationary solutions to a chemo-taxis systems. J. Differential Equations. 72:1988;1-27.
    • (1988) J. Differential Equations , vol.72 , pp. 1-27
    • Lin, C.-S.1    Ni, W.-M.2    Takagi, I.3
  • 17
    • 21844502887 scopus 로고
    • Global asymptotic dynamics of gradient-like bistable equations
    • Mischaikow K. Global asymptotic dynamics of gradient-like bistable equations. SIAM J. Math. Anal. 26:1995;1199-1224.
    • (1995) SIAM J. Math. Anal. , vol.26 , pp. 1199-1224
    • Mischaikow, K.1
  • 18
    • 0003002827 scopus 로고
    • Diffusion, cross diffusion, and spike layer solutions
    • Ni W.-M. Diffusion, cross diffusion, and spike layer solutions. Notices Amer. Math. Soc. 1988;8-18.
    • (1988) Notices Amer. Math. Soc. , pp. 8-18
    • Ni, W.-M.1
  • 19
    • 84973998562 scopus 로고
    • Singular behavior of least-energy solutions of a semilinear Neumann problem involving critical Sobolev exponents
    • Ni W.-M., Pan X., Takagi I. Singular behavior of least-energy solutions of a semilinear Neumann problem involving critical Sobolev exponents. Duke Math. J. 67:1992;1-20.
    • (1992) Duke Math. J. , vol.67 , pp. 1-20
    • Ni, W.-M.1    Pan, X.2    Takagi, I.3
  • 20
    • 84990581933 scopus 로고
    • On the shape of least-energy solutions to a semilinear Neumann problem
    • Ni W. M., Takagi I. On the shape of least-energy solutions to a semilinear Neumann problem. Comm. Pure Appl. Math. 41:1991;819-815.
    • (1991) Comm. Pure Appl. Math. , vol.41 , pp. 819-815
    • Ni, W.M.1    Takagi, I.2
  • 21
    • 84971179248 scopus 로고
    • Locating the peaks of the least-energy solutions to a semilinear Neumann problem
    • Ni W. M., Takagi I. Locating the peaks of the least-energy solutions to a semilinear Neumann problem. Duke Math. J. 70:1993;247-281.
    • (1993) Duke Math. J. , vol.70 , pp. 247-281
    • Ni, W.M.1    Takagi, I.2
  • 22
    • 0001672333 scopus 로고
    • Point condensation generated by a reaction-diffusion system in axially symmetric domains
    • Ni W. M., Takagi I. Point condensation generated by a reaction-diffusion system in axially symmetric domains. Japan J. Indust. Appl. Math. 12:1995;327-365.
    • (1995) Japan J. Indust. Appl. Math. , vol.12 , pp. 327-365
    • Ni, W.M.1    Takagi, I.2
  • 23
    • 84990662413 scopus 로고
    • On the location and profile of spike-layer solutions to singularly perturbed semilinear Dirichlet problem
    • Ni W. M., Wei J. On the location and profile of spike-layer solutions to singularly perturbed semilinear Dirichlet problem. Comm. Pure Appl. Math. 48:1995;731-768.
    • (1995) Comm. Pure Appl. Math. , vol.48 , pp. 731-768
    • Ni, W.M.1    Wei, J.2
  • 24
    • 0002816612 scopus 로고
    • Condensation of least-energy solutions of a semilinear Neumann problem
    • Pan X. Condensation of least-energy solutions of a semilinear Neumann problem. J. Partial Differential Equations. 8:1995;1-35.
    • (1995) J. Partial Differential Equations , vol.8 , pp. 1-35
    • Pan, X.1
  • 27
    • 21144478287 scopus 로고
    • On the existence of multiple, single-peaked solutions for a semilinear Neumann problem
    • Wang Z. Q. On the existence of multiple, single-peaked solutions for a semilinear Neumann problem. Arch. Rational Mech. Anal. 120:1992;375-399.
    • (1992) Arch. Rational Mech. Anal. , vol.120 , pp. 375-399
    • Wang, Z.Q.1
  • 29
    • 0000068099 scopus 로고    scopus 로고
    • Multi-peak solutions for a wide class of singular perturbation problems
    • Wei J., Winter M. Multi-peak solutions for a wide class of singular perturbation problems. J. London Math. Soc. 59:1999;585-606.
    • (1999) J. London Math. Soc. , vol.59 , pp. 585-606
    • Wei, J.1    Winter, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.