메뉴 건너뛰기




Volumn 135, Issue 12, 2007, Pages 3933-3941

Global existence of solutions to shigesada-kawasaki-teramoto cross-diffusion systems on domains of arbitrary dimensions

Author keywords

Cross diffusion systems; Global existence; Maximum principles

Indexed keywords


EID: 38349114802     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-07-08978-2     Document Type: Article
Times cited : (34)

References (16)
  • 1
    • 45549120045 scopus 로고
    • Dynamic theory of quasilinear parabolic equations - I. Abstract evolution equations, nonlinear analysis - Theory
    • MR96063489j:35072
    • H. Amann, Dynamic theory of quasilinear parabolic equations - I. Abstract evolution equations, Nonlinear Analysis - Theory, Methods and Applications, Vol. 12, 9 (1988), 895-919. MR960634 (89j:35072)
    • (1988) Methods and Applications , vol.12 , Issue.9 , pp. 895-919
    • Amann, H.1
  • 2
    • 84972541997 scopus 로고
    • Dynamic theory of quasilinear parabolic equations - II. Reaction-diffusion systems
    • MR101472690i:35124
    • H. Amann, Dynamic theory of quasilinear parabolic equations - II. Reaction-diffusion systems, Differential Integral Equations, Vol. 3, 1 (1990), 13-75. MR1014726 (90i:35124)
    • (1990) Differential Integral Equations , vol.3 , Issue.1 , pp. 13-75
    • Amann, H.1
  • 3
    • 0001742516 scopus 로고
    • Dynamic theory of quasilinear parabolic systems - III. Global existence
    • MR101308690i:35125
    • H. Amann, Dynamic theory of quasilinear parabolic systems - III. Global existence, Math. Z. 202 (1989), 219-250. MR1013086 (90i:35125)
    • (1989) Math. Z , vol.202 , pp. 219-250
    • Amann, H.1
  • 4
    • 39849099932 scopus 로고    scopus 로고
    • Abstract methods in differential equations
    • MR20372272004k:35231
    • H. Amann, Abstract methods in differential equations, Rev. R. Acad. Cien. Serie A. Mat. Vol. 97, 1 (2003), 89-105. MR2037227 (2004k:35231)
    • (2003) Rev. R. Acad. Cien. Serie A. Mat. , vol.97 , Issue.1 , pp. 89-105
    • Amann, H.1
  • 5
    • 0038446673 scopus 로고    scopus 로고
    • Existence of global solutions for the Shigesada-Kawasaki-Teramoto model with weak cross-diffusion
    • MR19744232004b:35145
    • Y. S. Choi, R. Lui and Y. Yamada, Existence of global solutions for the Shigesada-Kawasaki-Teramoto model with weak cross-diffusion, Discrete and Continuous Dynamical Systems, Vol. 9, 5 (2003), 1193-1200. MR1974423 (2004b:35145)
    • (2003) Discrete and Continuous Dynamical Systems , vol.9 , Issue.5 , pp. 1193-1200
    • Choi, Y.S.1    Lui, R.2    Yamada, Y.3
  • 6
    • 1042267866 scopus 로고    scopus 로고
    • Existence of Global solutions for the Shigesada-Kawasaki-Teramoto model with strongly coupled cross-diffusion
    • MR20188762005e:35099
    • Y. S. Choi, R. Lui and Y. Yamada, Existence of global solutions for the Shigesada-Kawasaki-Teramoto model with strongly coupled cross-diffusion, Discrete and Continuous Dynamical Systems, Vol. 10, 3 (2004), 719-730. MR2018876 (2005e:35099)
    • (2004) Discrete and Continuous Dynamical Systems , vol.3-10 , pp. 719-730
    • Choi, Y.S.1    Lui, R.2    Yamada, Y.3
  • 11
    • 22544441869 scopus 로고    scopus 로고
    • Global existence for a class of triangular parabolic systems on domains of arbitrary dimension
    • MR21378642005k:35215
    • D. Le and T. Nguyen, Global existence for a class of triangular parabolic systems on domains of arbitrary dimension, Proceedings of AMS, Vol. 133, 7 (2005), 1985-1992. MR2137864 (2005k:35215)
    • (2005) Proceedings of AMS , vol.133 , Issue.7 , pp. 1985-1992
    • Le, D.1    Nguyen, T.2
  • 12
    • 15744396864 scopus 로고    scopus 로고
    • Global existence of solutions to a cross-diffusion system in higher dimensional domains
    • MR21221612005i:35147
    • Y. Li and C. Zhao, Global existence of solutions to a cross-diffusion system in higher dimensional domains, Discrete and Continuous Dynamical Systems, Vol. 12, 2 (2005), 185-192. MR2122161 (2005i:35147)
    • (2005) Discrete and Continuous Dynamical Systems , vol.12 , Issue.2 , pp. 185-192
    • Li, Y.1    Zhao, C.2
  • 13
    • 0032388194 scopus 로고    scopus 로고
    • On the Global existence of cross-diffusion systems
    • MR161696999f:35089
    • Y. Lou, W. M. Ni and Y. Wu, On the global existence of cross-diffusion systems, Discrete and Continuous Dynamical Systems, Vol. 4, 2 (1998), 193-203. MR1616969 (99f:35089)
    • (1998) Discrete and Continuous Dynamical Systems , vol.4 , Issue.2 , pp. 193-203
    • Lou, Y.1    Ni, W.M.2    Wu, Y.3
  • 15
    • 0018783879 scopus 로고
    • Spatial segregation of interacting species
    • MR54095180e:92038
    • N. Shigesada, K. Kawasaki and E. Teramoto, Spatial segregation of interacting species, J. Theoretical Biology, 79 (1979), 83-89. MR540951 (80e:92038)
    • (1979) J. Theoretical Biology , vol.79 , pp. 83-89
    • Shigesada, N.1    Kawasaki, K.2    Teramoto, E.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.