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Volumn 51, Issue 2, 1998, Pages 139-196

Optimal estimates for blowup rate and behavior for nonlinear heat equations

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EID: 0032338170     PISSN: 00103640     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0312(199802)51:2<139::AID-CPA2>3.0.CO;2-C     Document Type: Article
Times cited : (199)

References (14)
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  • 2
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    • (1994) Nonlinearity , vol.7 , pp. 539-575
    • Bricmont, J.1    Kupiainen, A.2
  • 4
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    • Symmetry and related properties via the maximum principle
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    • (1979) Comm. Math. Phys. , vol.68 , pp. 209-243
    • Gidas, B.1    Ni, W.M.2    Nirenberg, L.3
  • 6
    • 84990616610 scopus 로고
    • Asymptotically self-similar blow-up of semilinear heat equations
    • Giga, Y., and Kohn, R. V., Asymptotically self-similar blow-up of semilinear heat equations, Comm. Pure Appl. Math. 38, 1985, pp. 297-319.
    • (1985) Comm. Pure Appl. Math. , vol.38 , pp. 297-319
    • Giga, Y.1    Kohn, R.V.2
  • 7
    • 0000332576 scopus 로고
    • Characterizing blowup using similarity variables
    • Giga, Y., and Kohn, R. V., Characterizing blowup using similarity variables, Indiana Univ. Math. J. 36, 1987, pp. 1-40.
    • (1987) Indiana Univ. Math. J. , vol.36 , pp. 1-40
    • Giga, Y.1    Kohn, R.V.2
  • 8
    • 84990575181 scopus 로고
    • Nondegeneracy of blowup for semilinear heat equations
    • Giga, Y., and Kohn, R. V., Nondegeneracy of blowup for semilinear heat equations, Comm. Pure Appl. Math. 42, 1989, pp. 845-884.
    • (1989) Comm. Pure Appl. Math. , vol.42 , pp. 845-884
    • Giga, Y.1    Kohn, R.V.2
  • 11
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    • Solution of a nonlinear heat equation with arbitrarily given blow-up points
    • Merle, F., Solution of a nonlinear heat equation with arbitrarily given blow-up points, Comm. Pure Appl. Math. 45, 1992, pp. 263-300.
    • (1992) Comm. Pure Appl. Math. , vol.45 , pp. 263-300
    • Merle, F.1
  • 14
    • 0000201979 scopus 로고    scopus 로고
    • Blow-up results for vector valued nonlinear heat equations with no gradient structure
    • to appear
    • Zaag, H., Blow-up results for vector valued nonlinear heat equations with no gradient structure, Ann. Inst. H. Poincaré Anal. Non Linéaire 15, 1998, to appear.
    • (1998) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.15
    • Zaag, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.