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Volumn 4, Issue 2, 1998, Pages 193-203

On the global existence of a cross-diffusion system

Author keywords

A priori estimates; Cross diffusion; Global existence

Indexed keywords


EID: 0032388194     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.1998.4.193     Document Type: Article
Times cited : (136)

References (18)
  • 1
    • 84980075953 scopus 로고
    • Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions: I
    • S. Agmon, A. Douglas and L. Nirenberg, Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions: I, Comm. Pure Appl. Math. 12 (1959), 627-727.
    • (1959) Comm. Pure Appl. Math. , vol.12 , pp. 627-727
    • Agmon, S.1    Douglas, A.2    Nirenberg, L.3
  • 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
    • 0001742516 scopus 로고    scopus 로고
    • Dynamic theory of quasilinear parabolic systems, III Global existence
    • H. Amann, Dynamic theory of quasilinear parabolic systems, III Global existence, Math Z. 301, 219-250.
    • Math Z. , vol.301 , pp. 219-250
    • Amann, H.1
  • 4
    • 0001835099 scopus 로고
    • Non-homogeneous linear and quasilinear elliptic and parabolic boundary value problems
    • H. Schmeisser & H. Triebel (eds) Stuttgart-Leipzig
    • H. Amann, Non-homogeneous linear and quasilinear elliptic and parabolic boundary value problems, in H. Schmeisser & H. Triebel (eds) Function Spaces, Differential Operator and Nonlinear Analysis, Teubner-Texte zur Math., Stuttgart-Leipzig 133 (1993), 9-126.
    • (1993) Function Spaces, Differential Operator and Nonlinear Analysis, Teubner-Texte Zur Math. , vol.133 , pp. 9-126
    • Amann, H.1
  • 5
    • 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
  • 7
    • 0000297309 scopus 로고
    • Smooth solutions to a quasilinear system of diffusion equations for a certain population model
    • J.U. Kim, Smooth solutions to a quasilinear system of diffusion equations for a certain population model, Nonlinear Analysis, T.M.&A. 8 (1984), 1121-1144.
    • (1984) Nonlinear Analysis, T.M.&A. , vol.8 , pp. 1121-1144
    • Kim, J.U.1
  • 9
    • 0030579038 scopus 로고    scopus 로고
    • Diffusion, self-diffusion and cross-diffusion
    • Y. Lou and W.M. Ni, Diffusion, self-diffusion and cross-diffusion, J. Differential Equations 131 (1996), 79-131.
    • (1996) J. Differential Equations , vol.131 , pp. 79-131
    • Lou, Y.1    Ni, W.M.2
  • 11
    • 0001637925 scopus 로고
    • Global existence of solutions for a strongly coupled quasilinear parabolic system
    • M.A. Pozio and A. Tesei, Global existence of solutions for a strongly coupled quasilinear parabolic system, Nonlinear Analysis, T.M.&A. 14 (1990), 657-689.
    • (1990) Nonlinear Analysis, T.M.&A. , vol.14 , pp. 657-689
    • Pozio, M.A.1    Tesei, A.2
  • 13
    • 0001294750 scopus 로고
    • Existence of the global attractor for a strongly coupled parabolic system arising in population dynamics
    • R. Redlinger, Existence of the global attractor for a strongly coupled parabolic system arising in population dynamics, J. Differential Equations 118 (1995), 219-252.
    • (1995) J. Differential Equations , vol.118 , pp. 219-252
    • Redlinger, R.1
  • 15
    • 38248999657 scopus 로고
    • Global solution of some quasilinear parabolic systems in population dynamics
    • A. Yagi, Global solution of some quasilinear parabolic systems in population dynamics, Nonlinear Analysis, T.M.&A. 21 (1993), 603-630.
    • (1993) Nonlinear Analysis, T.M.&A. , vol.21 , pp. 603-630
    • Yagi, A.1
  • 16
    • 0000489455 scopus 로고
    • Global solutions for quasilinear parabolic systems with cross-diffusion effects
    • Y. Yamada, Global solutions for quasilinear parabolic systems with cross-diffusion effects, Nonlinear Analysis, T.M.&A. 24 (1995), 1395-1412.
    • (1995) Nonlinear Analysis, T.M.&A. , vol.24 , pp. 1395-1412
    • Yamada, Y.1
  • 17
    • 0004326709 scopus 로고    scopus 로고
    • Existence of stationary solutions for a class of cross-diffusion systems with small parameters
    • Science Press, Beijing (to appear)
    • Y.P. Wu, Existence of stationary solutions for a class of cross-diffusion systems with small parameters, Lecture Notes on Contemporary Mathematics, Science Press, Beijing (to appear).
    • Lecture Notes on Contemporary Mathematics
    • Wu, Y.P.1
  • 18
    • 0003102916 scopus 로고
    • Traveling Waves for a Class of Cross-Diffusion Systems with small parameters
    • Y.P. Wu, Traveling Waves for a Class of Cross-Diffusion Systems with small parameters, J. Differential Equations 123 (1995), 1-34.
    • (1995) J. Differential Equations , vol.123 , pp. 1-34
    • Wu, Y.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.