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Volumn 19, Issue 14, 1996, Pages 1099-1120

Critical exponents for a system of heat equations coupled in a non-linear boundary condition

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; GRAPH THEORY; HEAT TRANSFER; PIECEWISE LINEAR TECHNIQUES; PROBLEM SOLVING; VECTORS;

EID: 0030245113     PISSN: 01704214     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-1476(19960925)19:14<1099::AID-MMA780>3.0.CO;2-J     Document Type: Article
Times cited : (28)

References (20)
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  • 2
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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 blowup for a semilinear reaction diffusion system
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    • Escobedo, M.1    Herrero, M.A.2
  • 4
    • 84968488639 scopus 로고
    • A uniqueness result for a semilinear reaction diffusion system
    • Escobedo, M., and Herrero, M. A, 'A uniqueness result for a semilinear reaction diffusion system', Proc. Amer. Math. Soc. 112, 175-185 (1991).
    • (1991) Proc. Amer. Math. Soc. , vol.112 , pp. 175-185
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  • 5
    • 0000788993 scopus 로고
    • Boundedness of global solutions for the heat equation with nonlinear boundary conditions
    • Fila, M., 'Boundedness of global solutions for the heat equation with nonlinear boundary conditions', Comment. Math. Univ. Carolinate, 30, 479-484 (1989).
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    • Fila, M.1
  • 6
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    • Proc. Banach Center
    • Fila, M.1    Filo, J.2
  • 7
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    • A Fujita type global existence-global nonexistence theorem for a system of reaction diffusion equations with differing diffusitivites
    • to appear
    • Fila, M., Levine, H. A., and Uda, Y., 'A Fujita type global existence-global nonexistence theorem for a system of reaction diffusion equations with differing diffusitivites', Math. Methods Appl. Sci., to appear.
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    • Fila, M.1    Levine, H.A.2    Uda, Y.3
  • 10
    • 0003943078 scopus 로고
    • Green functions for second order parabolic integrodifferential problems
    • New York
    • Garroni, M. G., and Menaldi, J. L., 'Green functions for second order parabolic integrodifferential problems', Longman Scientific and Technical, New York, 1992.
    • (1992) Longman Scientific and Technical
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  • 11
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    • The profile near blowup time for solutions for the heat equation with a nonlinear boundary condition
    • Hu, Bei and Yin, H.-M., The profile near blowup time for solutions for the heat equation with a nonlinear boundary condition', Trans. Amer. Math Soc., 346, 117-135 (1994).
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  • 14
    • 0025442951 scopus 로고
    • The role of critical exponents in blowup theorems
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  • 15
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    • The value of the critical exponent for reaction-diffusion equations in cones
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  • 16
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    • Critical exponent of blowup for semilinear heat equation on a product domain
    • Ohta, S. and Kaneko, A., "Critical exponent of blowup for semilinear heat equation on a product domain', J. Fac. Sci. Univ. Tokyo, Sect.1A, Math. 40, 635-650 (1993).
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  • 18
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    • to appear
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  • 19
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.