메뉴 건너뛰기




Volumn 26, Issue 9, 1996, Pages 1535-1546

Asymptotic behaviour and attractors for degenerate parabolic equations on unbounded domains

Author keywords

Degenerate parabolic equation; Global attractor; Stabilization

Indexed keywords

ASYMPTOTIC STABILITY; BOUNDARY VALUE PROBLEMS; FUNCTIONS; INTEGRAL EQUATIONS; MAXIMUM PRINCIPLE; NONLINEAR SYSTEMS; NUMERICAL METHODS;

EID: 0030150391     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0362-546X(95)00004-F     Document Type: Article
Times cited : (5)

References (18)
  • 1
    • 0000383614 scopus 로고
    • An introduction to the mathematical theory of the porous medium equation
    • Shape Optimization and Free Boundaries (Edited by M. C. DELFOUR), Ser. C, Kluwer Academic, Dordrecht
    • VAZQUEZ J. L., An introduction to the mathematical theory of the porous medium equation, in Shape Optimization and Free Boundaries (Edited by M. C. DELFOUR), Math. and Phys. Sciences, Ser. C, pp. 347-389. Kluwer Academic, Dordrecht (1992).
    • (1992) Math. and Phys. Sciences , pp. 347-389
    • Vazquez, J.L.1
  • 2
    • 0347567472 scopus 로고
    • Stationary solutions and asymptotic behavior of a quasilinear degenerate parabolic equation
    • SCHATZMAN M., Stationary solutions and asymptotic behavior of a quasilinear degenerate parabolic equation, Indiana Univ. math. J. 33(1), 1-29 (1984).
    • (1984) Indiana Univ. Math. J. , vol.33 , Issue.1 , pp. 1-29
    • Schatzman, M.1
  • 3
    • 0022045221 scopus 로고
    • Stabilization of solutions of nonlinear and degenerate evolution equations
    • LANGLAIS M. & PHILLIPS D., Stabilization of solutions of nonlinear and degenerate evolution equations, Nonlinear Analysis 9(4), 321-333 (1985).
    • (1985) Nonlinear Analysis , vol.9 , Issue.4 , pp. 321-333
    • Langlais, M.1    Phillips, D.2
  • 4
    • 38249028487 scopus 로고
    • Stabilization of solutions for a class of degenerate equations in divergence form in one space dimension
    • ALIKAKOS N. & BATES P. W., Stabilization of solutions for a class of degenerate equations in divergence form in one space dimension, J. diff. Eqns 73, 363-393 (1988).
    • (1988) J. Diff. Eqns , vol.73 , pp. 363-393
    • Alikakos, N.1    Bates, P.W.2
  • 5
    • 0001483956 scopus 로고
    • Stabilization of solutions of a degenerate nonlinear diffusion problem
    • ARONSON D. G., CRANDALL M. G. & PELETIER L. A., Stabilization of solutions of a degenerate nonlinear diffusion problem, Nonlinear Analysis 6(10), 1001-1022 (1982).
    • (1982) Nonlinear Analysis , vol.6 , Issue.10 , pp. 1001-1022
    • Aronson, D.G.1    Crandall, M.G.2    Peletier, L.A.3
  • 8
    • 38249020894 scopus 로고
    • Existence and finite dimensionality of the global attractor for evolution equations on unbounded domains
    • ABERGEL F., Existence and finite dimensionality of the global attractor for evolution equations on unbounded domains, J. diff. Eqns 83, 85-108 (1990).
    • (1990) J. Diff. Eqns , vol.83 , pp. 85-108
    • Abergel, F.1
  • 9
    • 84972273463 scopus 로고
    • Attractors of partial differential evolution equations in an unbounded domain
    • BABIN A. V. & VISHIK M. I., Attractors of partial differential evolution equations in an unbounded domain, Proc. R. Soc. Edinb 116A, 221-243 (1990).
    • (1990) Proc. R. Soc. Edinb , vol.116 A , pp. 221-243
    • Babin, A.V.1    Vishik, M.I.2
  • 13
    • 85029983339 scopus 로고    scopus 로고
    • Existence for reaction diffusion systems. A compactness method approach
    • to appear
    • DIAZ J. I. & VRABIE I. I., Existence for reaction diffusion systems. A compactness method approach, J. math. Analysis Applic. (to appear).
    • J. Math. Analysis Applic.
    • Diaz, J.I.1    Vrabie, I.I.2
  • 14
    • 0000853180 scopus 로고
    • An introduction to evolution governed by accretive operators
    • (Edited by L. CESARI, J. HALE and J. LASALLE), Academic Press, New York
    • CRANDALL M.G., An introduction to evolution governed by accretive operators, in Dynamical Systems (Edited by L. CESARI, J. HALE and J. LASALLE), Vol. 1, pp. 131-165. Academic Press, New York (1976).
    • (1976) Dynamical Systems , vol.1 , pp. 131-165
    • Crandall, M.G.1
  • 15
    • 0011655918 scopus 로고
    • Convergence and approximation of semigroups of nonlinear operators in Banach spaces
    • BREZIS H. & PAZY A., Convergence and approximation of semigroups of nonlinear operators in Banach spaces, J. Funct. Analysis 9, 63-74 (1972).
    • (1972) J. Funct. Analysis , vol.9 , pp. 63-74
    • Brezis, H.1    Pazy, A.2
  • 16
    • 84972549957 scopus 로고
    • The behavior of solutions of quasi-linear heat equations
    • KAWANOGO T., The behavior of solutions of quasi-linear heat equations, Osaka J. Math. 27, 769-796 (1990).
    • (1990) Osaka J. Math. , vol.27 , pp. 769-796
    • Kawanogo, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.