Boundary behavior of blowup solutions for a heat equation with a nonlinear boundary condition

Author:

Harada Junichi

Funder

Grant-in-Aid for Young Scientists

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference16 articles.

1. Beals, R., Wong, R.: Special Functions and Orthogonal Polynomials, Cambridge Studies in Advanced Mathematics, vol. 153. Cambridge University Press, Cambridge (2016)

2. Chlebík, M., Fila, M.: On the blow-up rate for the heat equation with a nonlinear boundary condition. Math. Methods Appl. Sci. 23(15), 1323–1330 (2000)

3. Chlebík, M., Fila, M.: Some recent results on blow-up on the boundary for the heat equation. Evolution equations: existence, regularity and singularities. Banach Cent. Publ. 52, 61–71 (2000)

4. Fila, M., Quittner, P.: The blow-up rate for the heat equation with a nonlinear boundary condition. Math. Methods Appl. Sci. 14, 197–205 (1991)

5. Harada, J.: Single point blow-up solutions to the heat equation with nonlinear boundary conditions. Differ. Equ. Appl. 5(2), 271–295 (2013)

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