메뉴 건너뛰기




Volumn 12, Issue 2, 2005, Pages 185-192

Global existence of solutions to a cross-diffusion system in higher dimensional domains

Author keywords

Cross Diffusion; Global Existence; Nonlinear Parabolic System; Population Dynamics; Self Diffusion; Shigesada Kawasaki Teramoto Model

Indexed keywords


EID: 15744396864     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.2005.12.185     Document Type: Article
Times cited : (29)

References (19)
  • 1
    • 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
  • 2
    • 0001742516 scopus 로고
    • Dynamic theory of quasilinear parabolic systems, III: Global existence
    • H. Amann, Dynamic theory of quasilinear parabolic systems, III: Global existence, Math Z. 202 (1989), 219-250.
    • (1989) Math Z. , vol.202 , pp. 219-250
    • Amann, H.1
  • 3
    • 0001835099 scopus 로고
    • Nonhomogeneous linear and quasilinear elliptic and parabolic boundary value problems
    • "Function Spaces, Differential Operators and Nonlinear Analysis" (eds. H. Schmeisser & H. Triebel), Teubner, Stuttgart-Leipzig
    • H. Amann, Nonhomogeneous linear and quasilinear elliptic and parabolic boundary value problems, in "Function Spaces, Differential Operators and Nonlinear Analysis" (eds. H. Schmeisser & H. Triebel), Teubner-Texte zur Math., vol. 133, Teubner, Stuttgart-Leipzig (1993), pp. 9-126.
    • (1993) Teubner-texte Zur Math. , vol.133 , pp. 9-126
    • Amann, H.1
  • 4
    • 0038446673 scopus 로고    scopus 로고
    • Existence of global solutions for the Shigesada-Kawasaki-Teramoto model with weak cross-diffusion
    • Y.S. Choi, R. Lui and Y. Yamada, Existence of global solutions for the Shigesada-Kawasaki-Teramoto model with weak cross-diffusion, Discrete Contin. Dyn. Syst. 9 (2003), 1193-1200.
    • (2003) Discrete Contin. Dyn. Syst. , vol.9 , pp. 1193-1200
    • Choi, Y.S.1    Lui, R.2    Yamada, Y.3
  • 5
    • 1042267866 scopus 로고    scopus 로고
    • Existence of global solutions for the Shigesada-Kawasaki-Teramoto model with srongly coupled cross-diffusion
    • Y. S. Choi, R. Lui and Y. Yamada, Existence of global solutions for the Shigesada-Kawasaki-Teramoto model with srongly coupled cross-diffusion, Discrete Contin. Dyn. Syst. 10 (2003), 719-730.
    • (2003) Discrete Contin. Dyn. Syst. , vol.10 , pp. 719-730
    • Choi, Y.S.1    Lui, R.2    Yamada, Y.3
  • 6
    • 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
  • 8
    • 0003228130 scopus 로고    scopus 로고
    • Partial differential equations
    • American Mathematical Society, Providence, RI
    • L.C. Evans, "Partial Differential Equations," Graduate Studies in Mathematics, vol. 19, American Mathematical Society, Providence, RI, 1998.
    • (1998) Graduate Studies in Mathematics , vol.19
    • Evans, L.C.1
  • 10
    • 0000297309 scopus 로고
    • Smooth solutions to a quasilinear system of diffusion equations, for a certain population model
    • J. Kim, Smooth solutions to a quasilinear 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.1
  • 12
    • 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
  • 13
    • 0033130048 scopus 로고    scopus 로고
    • Diffusion vs. cross-diffusion: An elliptic approach
    • Y. Lou and W.-M. Ni, Diffusion vs. cross-diffusion: An elliptic approach, J. Differential Equations 154 (1999), 157-190.
    • (1999) J. Differential Equations , vol.154 , pp. 157-190
    • Lou, Y.1    Ni, W.-M.2
  • 14
    • 0032388194 scopus 로고    scopus 로고
    • On the global existence of a cross-diffusion system
    • Y. Lou, W.-M. Ni and Y. Wu, On the global existence of a cross-diffusion system,Discrete Contin. Dyn. Syst. 4 (1998), 193-203.
    • (1998) Discrete Contin. Dyn. Syst. , vol.4 , pp. 193-203
    • Lou, Y.1    Ni, W.-M.2    Wu, Y.3
  • 15
    • 2142640773 scopus 로고    scopus 로고
    • On a limiting system in the Lotka-Volterra competition with cross-diffusion
    • Y. Lou, W.M. Ni and S. Yotsutani, On a limiting system in the Lotka-Volterra competition with cross-diffusion,Discrete Contin. Dyn. Syst. 10 (2004), 435-458.
    • (2004) Discrete Contin. Dyn. Syst. , vol.10 , pp. 435-458
    • Lou, Y.1    Ni, W.M.2    Yotsutani, S.3
  • 16
    • 0038739385 scopus 로고    scopus 로고
    • Positive steady-states for two interacting species models with linear self-cross dtffusions
    • K. Ryu and I. Ahn, Positive steady-states for two interacting species models with linear self-cross dtffusions,Discrete Contin. Dyn. Syst. 9 (2003), 1049-1061.
    • (2003) Discrete Contin. Dyn. Syst. , vol.9 , pp. 1049-1061
    • Ryu, K.1    Ahn, I.2
  • 18
    • 0037057996 scopus 로고    scopus 로고
    • Uniform boundedness and convergence of solutions to cross-diffusion systems
    • S.-A. Shim, Uniform boundedness and convergence of solutions to cross-diffusion systems, J. Differential Equations 185 (2002), 281-305.
    • (2002) J. Differential Equations , vol.185 , pp. 281-305
    • Shim, S.-A.1
  • 19
    • 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, Non-linear Anal. 21 (1993), 603-630.
    • (1993) Non-linear Anal. , vol.21 , pp. 603-630
    • Yagi, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.