메뉴 건너뛰기




Volumn 217, Issue 1, 1998, Pages 72-94

GlobalL∞Estimates for a Class of Reaction-Diffusion Systems

Author keywords

Sobolev inequalities; a prioriestimates; reaction diffusion systems; evolution operators

Indexed keywords


EID: 0003141001     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1997.5702     Document Type: Article
Times cited : (11)

References (31)
  • 1
    • 0000614595 scopus 로고
    • An application of the invariance principle to reaction diffusion equations
    • Alikakos N. An application of the invariance principle to reaction diffusion equations. J. Differential Equations. 33:1979;201-225.
    • (1979) J. Differential Equations , vol.33 , pp. 201-225
    • Alikakos, N.1
  • 2
    • 84914830669 scopus 로고
    • pbounds of solutions of reaction-diffusion equations
    • pbounds of solutions of reaction-diffusion equations. Comm. Partial Differential Equations. 4:1979;827-868.
    • (1979) Comm. Partial Differential Equations , vol.4 , pp. 827-868
    • Alikakos, N.1
  • 3
    • 0017014016 scopus 로고
    • Fixed point equations and nonlinear eigenvalue problems in ordered banach spaces
    • Amann H. Fixed point equations and nonlinear eigenvalue problems in ordered banach spaces. SIAM Rev. 18:1976;620-709.
    • (1976) SIAM Rev. , vol.18 , pp. 620-709
    • Amann, H.1
  • 5
    • 0000441550 scopus 로고
    • On the existence of positive eigenfunctions for an eigenvalue problem with indefinite weight function
    • Brown K. J., Lin S. S. On the existence of positive eigenfunctions for an eigenvalue problem with indefinite weight function. J. Math. Anal. Appl. 75:1980;112-120.
    • (1980) J. Math. Anal. Appl. , vol.75 , pp. 112-120
    • Brown, K.J.1    Lin, S.S.2
  • 6
    • 0026707308 scopus 로고
    • The growth of pure and simple microbial competitors in a moving and distributed medium
    • Kung C.-M., Baltzis B. The growth of pure and simple microbial competitors in a moving and distributed medium. Math. Biosci. 111:1992;295-313.
    • (1992) Math. Biosci. , vol.111 , pp. 295-313
    • Kung, C.-M.1    Baltzis, B.2
  • 9
    • 0039767917 scopus 로고    scopus 로고
    • Global attractors for a class of nonlinear degenerate parabolic systems
    • Dung L. Global attractors for a class of nonlinear degenerate parabolic systems. J. Int. Diff. eqns. 1997.
    • (1997) J. Int. Diff. Eqns
    • Dung, L.1
  • 10
    • 0000654118 scopus 로고    scopus 로고
    • Dissipativity and global attractor for a class of quasilinear parabolic systems
    • Dung L. Dissipativity and global attractor for a class of quasilinear parabolic systems. Comm. Partial Differential Equations. 22:1997;413-433.
    • (1997) Comm. Partial Differential Equations , vol.22 , pp. 413-433
    • Dung, L.1
  • 11
    • 0030239605 scopus 로고    scopus 로고
    • On a parabolic system modelling microbial competition in an unmixed bio-reactor
    • Dung L., Smith H. L. On a parabolic system modelling microbial competition in an unmixed bio-reactor. J. Differential Equations. 130:1996;59-91.
    • (1996) J. Differential Equations , vol.130 , pp. 59-91
    • Dung, L.1    Smith, H.L.2
  • 12
    • 0009074811 scopus 로고    scopus 로고
    • Department of Mathematics, Arizona State University, August
    • Le, Dung, Nonlinear Parabolic Systems and Attractors, Department of Mathematics, Arizona State University, August 1997.
    • (1997) Nonlinear Parabolic Systems and Attractors
    • Le1    Dung2
  • 16
    • 0003460899 scopus 로고
    • Geometric Theory of Semilinear Parabolic Equations
    • Springer-Verlag
    • Henry D. Geometric Theory of Semilinear Parabolic Equations. Lecture Notes in Math. 1981;Springer-Verlag.
    • (1981) Lecture Notes in Math.
    • Henry, D.1
  • 18
    • 0027645076 scopus 로고
    • On a system of reaction-diffusion equations arising from competition in the unstirred chemostat
    • Hsu S.-B., Waltman P. On a system of reaction-diffusion equations arising from competition in the unstirred chemostat. SIAM J. Appl. Math. 53:1993;1026-1044.
    • (1993) SIAM J. Appl. Math. , vol.53 , pp. 1026-1044
    • Hsu, S.-B.1    Waltman, P.2
  • 19
    • 0026616222 scopus 로고
    • Permanence in dynamical systems
    • Hutson V., Schmitt K. Permanence in dynamical systems. Math. Biosci. 8:1992;1-71.
    • (1992) Math. Biosci. , vol.8 , pp. 1-71
    • Hutson, V.1    Schmitt, K.2
  • 26
    • 0003568123 scopus 로고
    • Global Solutions of Reaction-Diffusion Systems
    • Berlin: Springer-Verlag
    • Rothe F. Global Solutions of Reaction-Diffusion Systems. Lecture Notes in Math. 1984;Springer-Verlag, Berlin.
    • (1984) Lecture Notes in Math.
    • Rothe, F.1
  • 29
    • 0003270907 scopus 로고
    • Monotone Dynamical Systems, An Introduction to the Theory of Competitive and Cooperative Systems
    • Smith Hal. Monotone Dynamical Systems, An Introduction to the Theory of Competitive and Cooperative Systems. Amer. Math. Soc. Math. Surveys and Monographs. 1995.
    • (1995) Amer. Math. Soc. Math. Surveys and Monographs
    • Smith Hal1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.