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Journal of Mathematical Analysis and Applications
Volumn 204, Issue 2, 1996, Pages 494-521
On critical exponents for a semilinear parabolic system coupled in an equation and a boundary condition
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EID: 0030524945     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1996.0451     Document Type: Article
Times cited : (23)
References (10)
  • 1
    • 49349119963 scopus 로고
    • Multidimensional nonlinear diffusion arising in population genetics
    • [AW] D. J. Aronson and H. F. Weinberger, Multidimensional nonlinear diffusion arising in population genetics, Adv. in Math. 30 (1978), 33-76.
    • (1978) Adv. in Math. , vol.30 , pp. 33-76
    • Aronson, D.J.1    Weinberger, H.F.2
  • 2
    • 0000930940 scopus 로고
    • On critical exponents for a system of heat equations coupled in the boundary conditions
    • [DFL] K. Deng, M. Fila, and H. A. Levine, On critical exponents for a system of heat equations coupled in the boundary conditions, Acta Math. Univ. Comenian. 63 (1994), 169-192.
    • (1994) Acta Math. Univ. Comenian. , vol.63 , pp. 169-192
    • Deng, K.1    Fila, M.2    Levine, H.A.3
  • 3
    • 0000199722 scopus 로고
    • Boundedness and blow up for a semilinear reaction-diffusion system
    • [EH] M. Escobedo and M. A. Herrero, Boundedness and blow up for a semilinear reaction-diffusion system, J. Differential Equations 89 (1991), 176-202.
    • (1991) J. Differential Equations , vol.89 , pp. 176-202
    • Escobedo, M.1    Herrero, M.A.2
  • 4
    • 84988144021 scopus 로고
    • A Fujita-type global existence - Global non-existence theorem for a system of reaction diffusion equations with differing diffusivities
    • [FLU] M. Fila, H. A. Levine, and Y. Uda, A Fujita-type global existence - global non-existence theorem for a system of reaction diffusion equations with differing diffusivities, Math. Methods Appl. Sci. 17 (1994), 807-835.
    • (1994) Math. Methods Appl. Sci. , vol.17 , pp. 807-835
    • Fila, M.1    Levine, H.A.2    Uda, Y.3
  • 6
    • 0001075610 scopus 로고    scopus 로고
    • On critical Fujita exponents for heat equations with a nonlinear flux condition on the boundary
    • [GL] V. Galaktionov and H. A. Levine, On critical Fujita exponents for heat equations with a nonlinear flux condition on the boundary, Israel J. Math. 94 (1996), 125-146.
    • (1996) Israel J. Math. , vol.94 , pp. 125-146
    • Galaktionov, V.1    Levine, H.A.2
  • 7
    • 0025442951 scopus 로고
    • The role of critical exponents in blowup theorems
    • [L1] H. A. Levine, The role of critical exponents in blowup theorems, SIAM Rev. 32, (1990), 262-288.
    • (1990) SIAM Rev. , vol.32 , pp. 262-288
    • Levine, H.A.1
  • 8
    • 0000658046 scopus 로고
    • A Fujita type global existence-global nonexistence theorem for a weakly coupled system of reaction-diffusion equations
    • [L2] H. A. Levine, A Fujita type global existence-global nonexistence theorem for a weakly coupled system of reaction-diffusion equations, Z. Angew. Math. Phys. 42 (1991), 408-430.
    • (1991) Z. Angew. Math. Phys. , vol.42 , pp. 408-430
    • Levine, H.A.1
  • 9
    • 85029963626 scopus 로고    scopus 로고
    • Critical exponent and critical blow-up for quasilinear parabolic equations
    • to appear
    • [MS] K. Mochizuki and R. Suzuki, Critical exponent and critical blow-up for quasilinear parabolic equations, Israel J. Math., to appear.
    • Israel J. Math.
    • Mochizuki, K.1    Suzuki, R.2
  • 10
    • 51249183619 scopus 로고
    • Existence and nonexistence of global solutions for a semilinear heat equation
    • [W] 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.