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Volumn 279, Issue 1, 2003, Pages 1-21

Uniform boundedness and convergence of solutions to the systems with a single nonzero cross-diffusion

Author keywords

Convergence; Cross diffusion; Population dynamics; Uniform bound

Indexed keywords


EID: 0037658951     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-247X(03)00045-3     Document Type: Article
Times cited : (20)

References (14)
  • 1
    • 0001742516 scopus 로고
    • Dynamic theory of quasilinear parabolic equations, III. Global existence
    • H. Amann, Dynamic theory of quasilinear parabolic equations, III. Global existence, Math. Z. 202 (1989) 219-250.
    • (1989) Math. Z. , vol.202 , pp. 219-250
    • Amann, H.1
  • 2
    • 84972541997 scopus 로고
    • Dynamic theory of quasilinear parabolic equations, II. Reaction-diffusion systems
    • H. Amann, Dynamic theory of quasilinear parabolic equations, II. Reaction-diffusion systems, Differential Integral Equations 3 (1990) 13-75.
    • (1990) Differential Integral Equations , vol.3 , pp. 13-75
    • Amann, H.1
  • 3
    • 0001835099 scopus 로고
    • Non-homogeneous linear and quasilinear elliptic and parabolic boundary value problems
    • Function Spaces, Differential Operators and Nonlinear Analysis (Friedrichroda), Teubner, Stuttgart
    • H. Amann, Non-homogeneous linear and quasilinear elliptic and parabolic boundary value problems, in: Function Spaces, Differential Operators and Nonlinear Analysis (Friedrichroda, 1992), in: Teubner-Texte Math., Vol. 133, Teubner, Stuttgart, 1993, pp. 9-126.
    • (1992) Teubner-Texte Math. , vol.133 , pp. 9-126
    • Amann, H.1
  • 4
    • 0000329021 scopus 로고
    • An initial-boundary value problem for a certain density-dependent diffusion system
    • P. Deuring, An initial-boundary value problem for a certain density-dependent diffusion system, Math. Z. 194 (1987) 375-396.
    • (1987) Math. Z. , vol.194 , pp. 375-396
    • Deuring, P.1
  • 6
    • 0003304963 scopus 로고
    • Geometric theory of semilinear parabolic equations
    • Springer-Verlag, Berlin
    • D. Henry, Geometric Theory of Semilinear Parabolic Equations, in: Lecture Notes in Mathematics, Vol. 840, Springer-Verlag, Berlin, 1981.
    • (1981) Lecture Notes in Mathematics , vol.840
    • Henry, D.1
  • 7
    • 0000297309 scopus 로고
    • Smooth solutions to a quasi-linear system of diffusion equations for a certain population model
    • J.U. Kim, Smooth solutions to a quasi-linear system of diffusion equations for a certain population model, Nonlinear Anal. 8 (1984) 1121-1144.
    • (1984) Nonlinear Anal. , vol.8 , pp. 1121-1144
    • Kim, J.U.1
  • 8
    • 0032388194 scopus 로고    scopus 로고
    • On the global existence of a cross-diffusion system
    • Y. Lou, W.-M. Ni, Y. Wu, On the global existence of a cross-diffusion system, Discrete Contin. Dynam. Systems 4 (1998) 193-203.
    • (1998) Discrete Contin. Dynam. Systems , vol.4 , pp. 193-203
    • Lou, Y.1    Ni, W.-M.2    Wu, Y.3
  • 11
    • 0003316678 scopus 로고
    • Semigroups of linear operators and applications to partial differential equations
    • Springer-Verlag, New York
    • A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, in: Appl. Math. Sci., Vol. 44, Springer-Verlag, New York, 1983.
    • (1983) Appl. Math. Sci. , vol.44
    • Pazy, A.1
  • 14
    • 38248999657 scopus 로고
    • Global solution to some quasilinear parabolic system in population dynamics
    • A. Yagi, Global solution to some quasilinear parabolic system in population dynamics, Nonlinear Anal. 21 (1993) 603-630.
    • (1993) Nonlinear Anal. , vol.21 , pp. 603-630
    • Yagi, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.