On critical Fujita exponents for heat equations with nonlinear flux conditions on the boundary

Author:

Galaktionov Victor A.,Levine Howard A.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference17 articles.

1. [BGK] F. V. Bunkin, V. A. Galaktionov, N. A. Kirichenko, S. P. Kurdyumov and A. A. Samarskii,Localization in an ignition problem, Doklady Akademii Nauk SSSR, Ser. Math.302 (1988), 68–71.

2. [BL] C. Bandle and H. A. Levine,On the existence and nonexistence of global solutions of reaction-diffusion equations in sectorial domains, Transactions of the American Mathematical Society655 (1989), 494–624.

3. [F] A. Friedman,Partial Differential Equations of Parabolic Type, Prentice Hall, Englewood Cliffs, N.J., 1964.

4. [Fi] M. Fila,Boundedness of global solutions for the heat equation with nonlinear boundary conditions, Commentationes Mathematicae Universitatis Carolinae30 (1989), 479–484.

5. [FQ] M. Fila and P. Quittner,The blow-up rate for the heat equation with a nonlinear boundary conditions, Mathematical Methods in the Applied Sciences14 (1991), 197–205.

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