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Volumn 48, Issue 5, 1997, Pages 701-710

Critical speed for the avoidance of blow-up in a reactive-diffusive medium

Author keywords

Blow up solutions; Integral equations

Indexed keywords


EID: 0031476970     PISSN: 00442275     EISSN: None     Source Type: Journal    
DOI: 10.1007/s000330050059     Document Type: Article
Times cited : (16)

References (12)
  • 3
    • 0001676026 scopus 로고
    • The blow-up behavior of the heat equation with Neumann boundary conditions
    • K. Deng, The blow-up behavior of the heat equation with Neumann boundary conditions, J. Math. Anal. Appl. 188 (1994), 125-137.
    • (1994) J. Math. Anal. Appl. , vol.188 , pp. 125-137
    • Deng, K.1
  • 4
    • 0030544718 scopus 로고    scopus 로고
    • Blow-up rates for parabolic systems
    • K. Deng, Blow-up rates for parabolic systems, Z. Angew Math. Phys. 47 (1996), 132-143.
    • (1996) Z. Angew Math. Phys. , vol.47 , pp. 132-143
    • Deng, K.1
  • 5
    • 84988159342 scopus 로고
    • The blow-up rate for the heat equation with a nonlinear boundary condition
    • M. Fila and P. Quittner, The blow-up rate for the heat equation with a nonlinear boundary condition, Math. Methods Appl. Sci. 16 (1991), 197-205.
    • (1991) Math. Methods Appl. Sci. , vol.16 , pp. 197-205
    • Fila, M.1    Quittner, P.2
  • 6
    • 0020927931 scopus 로고
    • Mathematical analysis of thermal runaway for spatially inhomogeneous reactions
    • A. Lacey, Mathematical analysis of thermal runaway for spatially inhomogeneous reactions, SIAM J. Appl Math. 43 (1983), 1350-1366.
    • (1983) SIAM J. Appl Math. , vol.43 , pp. 1350-1366
    • Lacey, A.1
  • 7
    • 0025442951 scopus 로고
    • The role of critical exponents in blow-up theorems
    • H. A. Levine, The role of critical exponents in blow-up theorems, SIAM Rev. 32 (1990), 262-288.
    • (1990) SIAM Rev. , vol.32 , pp. 262-288
    • Levine, H.A.1
  • 8
    • 0001324528 scopus 로고
    • Explosion in a diffusive strip due to a concentrated nonlinear source
    • W. E. Olmstead and C. A. Roberts, Explosion in a diffusive strip due to a concentrated nonlinear source, Methods Appl. Anal. 1 (1994), 434-445.
    • (1994) Methods Appl. Anal. , vol.1 , pp. 434-445
    • Olmstead, W.E.1    Roberts, C.A.2
  • 9
    • 0001018822 scopus 로고
    • Asymptotic behavior and nonexistence of global solutions for a class of nonlinear boundary problems of parabolic type
    • C. V. Pao, Asymptotic behavior and nonexistence of global solutions for a class of nonlinear boundary problems of parabolic type, J. Math. Anal. Appl. 65 (1978), 616-637.
    • (1978) J. Math. Anal. Appl. , vol.65 , pp. 616-637
    • Pao, C.V.1
  • 10
    • 0001074918 scopus 로고    scopus 로고
    • Growth rates for blow-up solutions of nonlinear Volterra equations
    • C. A. Roberts and W. E. Olmstead, Growth rates for blow-up solutions of nonlinear Volterra equations, Quart. Appl. Math. 54 (1996), 153-160.
    • (1996) Quart. Appl. Math. , vol.54 , pp. 153-160
    • Roberts, C.A.1    Olmstead, W.E.2
  • 11
    • 0001591638 scopus 로고
    • Volterra equations which model explosion in a diffusive medium
    • C. A. Roberts, D. G. Lasseigne and W. K. Olmstead, Volterra equations which model explosion in a diffusive medium, J. Integral Eqn. Appl. 5 (1093), 531-546.
    • (1093) J. Integral Eqn. Appl. , vol.5 , pp. 531-546
    • Roberts, C.A.1    Lasseigne, D.G.2    Olmstead, W.K.3
  • 12
    • 51249183619 scopus 로고
    • Existence and nonexistence of global solutions for a semilinear heat equation
    • F. B. Weissler, Existence and nonexistence 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


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.