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Volumn 218, Issue 1, 1998, Pages 313-324

Note on Critical Exponents for a System of Heat Equations Coupled in the Boundary Conditions

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EID: 0001476793     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1997.5751     Document Type: Article
Times cited : (28)

References (17)
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    • On critical exponents for a system of heat equations coupled in the boundary conditions
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  • 3
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    • Boundedness and blow up for a semilinear reaction-diffusion system
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    • Escobedo, M.1    Herrero, M.A.2
  • 4
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    • A uniqueness result for a semilinear reaction-diffusion system
    • Escobedo M., Herrero M. A. A uniqueness result for a semilinear reaction-diffusion system. Proc. Amer. Math. Soc. 112:1991;175-185.
    • (1991) Proc. Amer. Math. Soc. , vol.112 , pp. 175-185
    • Escobedo, M.1    Herrero, M.A.2
  • 6
    • 84988159342 scopus 로고
    • The blow-up rate for heat equation with a nonlinear boundary condition
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    • (1991) Math. Methods Appl. Sci. , vol.14 , pp. 197-205
    • Fila, M.1    Quittner, P.2
  • 9
    • 0001075610 scopus 로고    scopus 로고
    • On critical Fujita exponents for heat equations with a nonlinear flux condition on the boundary
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    • (1996) Israel J. Math. , vol.94 , pp. 125-146
    • Galaktionov, V.1    Levine, H.A.2
  • 10
    • 84990616610 scopus 로고
    • Asymptotic self-similar blow-up of semilinear heat equations
    • Giga Y., Kohn R. V. Asymptotic self-similar blow-up of semilinear heat equations. Comm. Pure Appl. Math. 38:1985;297-319.
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    • Giga, Y.1    Kohn, R.V.2
  • 11
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    • Characterizing blow-up using similarity variables
    • Giga Y., Kohn R. V. Characterizing blow-up using similarity variables. Indiana Univ. Math. J. 36:1987;1-40.
    • (1987) Indiana Univ. Math. J. , vol.36 , pp. 1-40
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  • 12
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    • The profile near blowup time for solution of the heat equation with a nonlinear boundary condition
    • Hu B., Yin H. M. The profile near blowup time for solution of the heat equation with a nonlinear boundary condition. Trans. Amer. Math. Soc. 346:1994;117-135.
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  • 14
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    • The role of critical exponents in blow-up problems
    • Levine H. A. The role of critical exponents in blow-up problems. SIAM Rev. 32:1990;262-288.
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    • The value of the critical exponent for reaction-diffusions in cones
    • Levine H. A., Meier P. The value of the critical exponent for reaction-diffusions in cones. Arch. Rational Mech. Anal. 109:1990;73-80.
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    • Levine, H.A.1    Meier, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.