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Volumn 193, Issue 1, 2003, Pages 212-238

Blowup rate of solutions for a semilinear heat equation with the Neumann boundary condition

Author keywords

Blowup rate; Cauchy Neumann problem; Semilinear heat equation

Indexed keywords


EID: 0042515249     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-0396(03)00128-1     Document Type: Article
Times cited : (19)

References (13)
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    • Fila, M.1    Souplet, P.2
  • 3
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    • Blow-up of positive solutions of semilinear heat equations
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    • (1985) Indiana Univ. Math. J. , vol.34 , pp. 425-447
    • Friedman, A.1    McLeod, B.2
  • 4
    • 0000332576 scopus 로고
    • Characterizing blow-up using selfsimilarity variables
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    • (1987) Indiana Univ. Math. J. , vol.36 , pp. 1-40
    • Giga, Y.1    Kohn, R.V.2
  • 5
    • 84990575181 scopus 로고
    • Nondegeneracy of blowup for semilinear heat equations
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    • Giga, Y.1    Kohn, R.V.2
  • 6
    • 0000172301 scopus 로고
    • Explosion de solutions des équations paraboliques semilinéaires supercritiques
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    • (1994) C.R. Acad. Sci. Paris , vol.319 , pp. 141-145
    • Herrero, M.A.1    Velázquez, J.J.L.2
  • 7
    • 85031078947 scopus 로고    scopus 로고
    • Blow-up behavior for semilinear heat equations with Neumann boundary conditions
    • in press
    • K. Ishige, N. Mizoguchi, Blow-up behavior for semilinear heat equations with Neumann boundary conditions, Differential Integral Equations, in press.
    • Differential Integral Equations
    • Ishige, K.1    Mizoguchi, N.2
  • 8
    • 4243379475 scopus 로고    scopus 로고
    • Universal blow-up rates for a semilinear heat equation and applications
    • preprint
    • J. Matos, P. Souplet, Universal blow-up rates for a semilinear heat equation and applications, preprint.
    • Matos, J.1    Souplet, P.2
  • 9
    • 0032338170 scopus 로고    scopus 로고
    • Optimal estimates for blowup rate and behavior for nonlinear heat equations
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    • Merle, F.1    Zaag, H.2
  • 10
    • 0032218494 scopus 로고    scopus 로고
    • Refined uniform estimates at blow-up and applications for nonlinear heat equations
    • F. Merle, H. Zaag, Refined uniform estimates at blow-up and applications for nonlinear heat equations, GAFA Geom. Funct. Anal. 8 (1998) 1043-1085.
    • (1998) GAFA Geom. Funct. Anal. , vol.8 , pp. 1043-1085
    • Merle, F.1    Zaag, H.2
  • 11
    • 0002156334 scopus 로고    scopus 로고
    • Stability of the blow-up profile of non-linear equations from the dynamical system point of view
    • F. Merle, H. Zaag, Stability of the blow-up profile of non-linear equations from the dynamical system point of view, Math. Ann. 317 (2000) 347-387.
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    • Merle, F.1    Zaag, H.2
  • 12
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    • On the shape of least-energy solutions to a semilinear Neumann problem
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  • 13
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    • Locating the peaks of least-energy solutions to a semilinear Neumann problem
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    • Ni, W.-M.1    Takagi, I.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.