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Volumn 133, Issue 7, 2005, Pages 1985-1992

Global existence for a class of triangular parabolic systems on domains of arbitrary dimension

Author keywords

Boundedness; Cross diffusion systems; H lder regularity

Indexed keywords


EID: 22544441869     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-05-07867-6     Document Type: Conference Paper
Times cited : (28)

References (13)
  • 1
    • 0001742516 scopus 로고
    • Dynamic theory of quasilinear parabolic systems-III, global existence
    • MR1013086 (90i: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
  • 2
    • 1042267866 scopus 로고    scopus 로고
    • Existence of global solutions for the Shigesada-Kawasaki-Teramoto model with strongly-coupled cross diffusion
    • MR2018876
    • Y.S. Choi, R. Lui and Y. Yamada, Existence of global solutions for the Shigesada-Kawasaki-Teramoto model with strongly-coupled cross diffusion. Discrete Contin. Dyn. Syst. 10 (2004), 719-730. MR2018876
    • (2004) Discrete Contin. Dyn. Syst. , vol.10 , pp. 719-730
    • Choi, Y.S.1    Lui, R.2    Yamada, Y.3
  • 3
    • 0003228130 scopus 로고    scopus 로고
    • Partial differential equations
    • MR1625845 (99e:35001)
    • L. C. Evans, Partial Differential Equations. AMS Graduate Studies in Math., vol. 19, 1998. MR1625845 (99e:35001)
    • (1998) AMS Graduate Studies in Math. , vol.19
    • Evans, L.C.1
  • 4
    • 0009035974 scopus 로고    scopus 로고
    • Invariant regions for quasilinear reaction-diffusion systems and applications to a two population model
    • MR1418589 (97m:35135)
    • K.H.W. Küfner, Invariant regions for quasilinear reaction-diffusion systems and applications to a two population model. NoDEA, 3(1996), 421-444. MR1418589 (97m:35135)
    • (1996) NoDEA , vol.3 , pp. 421-444
    • Küfner, K.H.W.1
  • 6
    • 0036054584 scopus 로고    scopus 로고
    • Cross diffusion systems on n spatial dimensional domains
    • MR1911048 (2003b:35090)
    • D. Le, Cross diffusion systems on n spatial dimensional domains. Indiana Univ. Math. J. 51, No.3(2002), 625-643. MR1911048 (2003b:35090)
    • (2002) Indiana Univ. Math. J. , vol.51 , Issue.3 , pp. 625-643
    • Le, D.1
  • 7
    • 22544438216 scopus 로고    scopus 로고
    • Global existence for a class of strongly coupled parabolic systems
    • To appear
    • D. Le, Global existence for a class of strongly coupled parabolic systems. To appear in Annali di Mat. Pura ed Appl.
    • Annali di Mat. Pura Ed Appl.
    • Le, D.1
  • 8
    • 3042616592 scopus 로고    scopus 로고
    • Shigesada-Kawasaki-Teramoto model on higher dimensional domains
    • MR1993780 (2004d:35100)
    • D. Le, L. Nguyen and T. Nguyen, Shigesada-Kawasaki-Teramoto model on higher dimensional domains. Electronic J. Diff. Eqn., No. 72 (2003), 1-12. MR1993780 (2004d:35100)
    • (2003) Electronic J. Diff. Eqn. , Issue.72 , pp. 1-12
    • Le, D.1    Nguyen, L.2    Nguyen, T.3
  • 9
    • 0000286193 scopus 로고
    • Invariant sets for strongly coupled reaction-diffusion systems under general boundary conditions
    • MR1012178 (90k:35137)
    • R. Redlinger, Invariant sets for strongly coupled reaction-diffusion systems under general boundary conditions. Arch. Rat. Mech. Anal., 108(1989), 281-291. MR1012178 (90k:35137)
    • (1989) Arch. Rat. Mech. Anal. , vol.108 , pp. 281-291
    • Redlinger, R.1
  • 10
    • 0018783879 scopus 로고
    • Spatial segregation of interacting species
    • MR0540951 (80e:92038)
    • N. Shigesada, K. Kawasaki and E. Teramoto, Spatial segregation of interacting species. J. Theoretical Biology, 79(1979), 83-99. MR0540951 (80e:92038)
    • (1979) J. Theoretical Biology , vol.79 , pp. 83-99
    • Shigesada, N.1    Kawasaki, K.2    Teramoto, E.3
  • 11
    • 0037057996 scopus 로고    scopus 로고
    • Uniform boundedness and convergence of solutions to cross-diffusion systems
    • MR1935640 (2003f:35171)
    • Seong-A Shim, Uniform Boundedness and Convergence of Solutions to Cross-Diffusion Systems. J. Diff. Eqn., 185, no. 1 (2002), 281-305. MR1935640 (2003f:35171)
    • (2002) J. Diff. Eqn. , vol.185 , Issue.1 , pp. 281-305
    • Shim, S.-A.1
  • 12
    • 38248999657 scopus 로고
    • Global solution to some quasilinear parabolic system in population dynamics
    • MR1245865 (94k:35148)
    • A. Yagi, Global solution to some quasilinear parabolic system in population dynamics. Nonlinear Analysis T.M.A., 21, no. 8 (1993),531-556. MR1245865 (94k:35148)
    • (1993) Nonlinear Analysis T.M.A. , vol.21 , Issue.8 , pp. 531-556
    • Yagi, A.1
  • 13
    • 0005597672 scopus 로고    scopus 로고
    • A priori estimates for some quasilinear parabolic system in population dynamics
    • MR1612166 (99k:35178)
    • A. Yagi, A priori estimates for some quasilinear parabolic system in population dynamics. Kobe J. Math., 14, no. 2 (1997),91-108. MR1612166 (99k:35178)
    • (1997) Kobe J. Math. , vol.14 , Issue.2 , pp. 91-108
    • Yagi, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.