A global existence-global nonexistence conjecture of Fujita type for a system of degenerate semilinear parabolic equations

• Autorzy: Howard A. Levine
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1996
• Tom: 33
• Numer: 1
• Strony: 193-198

Daty

wydano

1996

Twórcy

autor

Howard A. Levine

• Department of Mathematics, Iowa State University, Ames, Iowa 50011, U.S.A.

Bibliografia

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• [EH] M. Escobedo and M. A. Herrero, Boundedness and blowup for a semilinear reaction-diffusion system, J. Differential Equations 89 (1991), 176-202.
• [FLU] M. Fila, H. A. Levine and Y. Uda, A Fujita type global existence-global nonexistence theorem for a system of reaction diffusion equations with differing diffusivities, Math. Methods Appl. Sci. 19 (1994), 809-835.
• [Fu] H. Fujita, On the blowing up of solutions of the Cauchy problem for $u_t = Δu + u^1 + α$, J. Fac. Sci. Univ. Tokyo Sect. IA Math. 16 (1966), 105-113.
• [L1] 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 (1992), 408-430.
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• [N] J. Nash, Continuity of solutions of parabolic and elliptic equations, Amer. J. Math. 80 (1958), 931-954.
• [U1] Y. Uda, The critical exponent for a weakly coupled system of generalized Fujita type reaction-diffusion equations, manuscript.
• [U2] Y. Uda, Fujita type global existence-global nonexistence theorems for weakly coupled systems of reaction-diffusion equations, PhD dissertation, Iowa State University, 1993.
• [W] F. B. Weissler, Existence and nonexistence of global solutions for a semilinear heat equation, Israel J. Math. 38 (1981), 29-40.