메뉴 건너뛰기




Volumn 37, Issue 1, 1994, Pages 101-118

A diffusion equation with localized chemical reactions

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84974160154     PISSN: 00130915     EISSN: 14643839     Source Type: Journal    
DOI: 10.1017/S0013091500018721     Document Type: Article
Times cited : (40)

References (17)
  • 1
    • 84914830669 scopus 로고
    • Lp-bounds of solutions of reaction—diffusion equations
    • N. D. ALIKAKOS, Lp-bounds 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.D.1
  • 2
    • 0000377165 scopus 로고
    • Non-negative solutions of linear parabolic equations
    • D. G. ARONSON, Non-negative solutions of linear parabolic equations, Ann. Scuola. Norm. Sup. Pisa 22 (1968), 607–694.
    • (1968) Ann. Scuola. Norm. Sup. Pisa , vol.22 , pp. 607-694
    • ARONSON, D.G.1
  • 4
    • 0001559767 scopus 로고
    • Far-from-equilibrium phenomena at local sites of reaction
    • K. BIMPONG-BOTA, P. ORTOLEVA and J. ROSS, Far-from-equilibrium phenomena at local sites of reaction, J. Chem. Phys. 60 (1974), 3124.
    • (1974) J. Chem. Phys. , vol.60 , Issue.3124
    • BIMPONG-BOTA, K.1    ORTOLEVA, P.2    ROSS, J.3
  • 5
    • 0000720333 scopus 로고
    • The blowup property of solutions to a chemical diffusion equation with localized reactions
    • J. M. CHADAM, A. PERICE and H. M. YIN, The blowup property of solutions to a chemical diffusion equation with localized reactions, J. Math. Anal. Appl. 169 (1992), 313–328.
    • (1992) J. Math. Anal. Appl. , vol.169 , pp. 313-328
    • CHADAM, J.M.1    PERICE, A.2    YIN, H.M.3
  • 6
    • 84988159342 scopus 로고
    • The blowup rate for the heat equation with a nonlinear boundary condition
    • M. FILA and P. QUITTER, The blowup rate for the heat equation with a nonlinear boundary condition, Math. Methods Appl. Sci. 14 (1991), 197–205.
    • (1991) Math. Methods Appl. Sci. , vol.14 , pp. 197-205
    • FILA, M.1    QUITTER, P.2
  • 7
    • 0000546335 scopus 로고
    • Blowup of positive solutions of semilinear heat equations
    • A. FRIEDMAN and B. MCLEOD, Blowup of positive solutions of semilinear heat equations, Indiana Univ. Math. J. 34 (1985), 425–477.
    • (1985) Indiana Univ. Math. J. , vol.34 , pp. 425-477
    • FRIEDMAN, A.1    MCLEOD, B.2
  • 9
    • 84974167126 scopus 로고
    • Asymptotic self-similar blowup of semilinear heat equations
    • Y. GIGA and R. V. KOHN, Asymptotic self-similar blowup of semilinear heat equations, Indiana Univ. Math. J. 34 (1987), 425–447.
    • (1987) Indiana Univ. Math. J. , vol.34 , pp. 425-447
    • GIGA, Y.1    KOHN, R.V.2
  • 11
    • 0000982445 scopus 로고
    • Nonexistence theorems for the heat equation with nonlinear boundary conditions and for the porous medium equation backward in time
    • H. A. LEVINE and L. E. PAYNE, Nonexistence theorems for the heat equation with nonlinear boundary conditions and for the porous medium equation backward in time, J. Differential Equations 16 (1974), 319–334.
    • (1974) J. Differential Equations , vol.16 , pp. 319-334
    • LEVINE, H.A.1    PAYNE, L.E.2
  • 12
    • 84966225806 scopus 로고
    • (Springer-Verlag, Berlin Heidelberg
    • V. G. MAZ’ja, Sobolev Spaces (Springer-Verlag, Berlin Heidelberg, 1985).
    • (1985) Sobolev Spaces
    • MAZ’ja, V.G.1
  • 13
    • 36849109104 scopus 로고
    • Local structures in chemical reactions with heterogeneous catalysis
    • P. ORTOLEVA and J. ROSS, Local structures in chemical reactions with heterogeneous catalysis, J. Chem. Phys. 56 (1972), 4397–4452.
    • (1972) J. Chem. Phys. , vol.56 , pp. 4397-4452
    • ORTOLEVA, P.1    ROSS, J.2
  • 14
    • 0003088926 scopus 로고
    • On existence and nonexistence in the large of solutions of parabolic differential equations with a nonlinear boundary condition
    • W. WALTER, On existence and nonexistence in the large of solutions of parabolic differential equations with a nonlinear boundary condition, SIAM J. Math. Anal. 6 (1974), 85–90.
    • (1974) SIAM J. Math. Anal. , vol.6 , pp. 85-90
    • WALTER, W.1
  • 15
    • 51249183619 scopus 로고
    • Existence and non-existence of global solutions for a semilinear heat equation
    • F. B. WEISSLER, Existence and non-existence of global solutions for a semilinear heat equation, Israel J. Math. 38 (1981), 29–40.
    • (1981) Israel J. Math. , vol.38 , pp. 29-40
    • WEISSLER, F.B.1
  • 16
    • 0040804880 scopus 로고
    • On parabolic Volterra equations in several space dimensions
    • H. M. YIN, On parabolic Volterra equations in several space dimensions, SIAM J. Math. Anal. 22 (1991), 1723–1737.
    • (1991) SIAM J. Math. Anal. , vol.22 , pp. 1723-1737
    • YIN, H.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.