Solvability of the heat equation on a half-space with a dynamical boundary condition and unbounded initial data

Author:

Fila Marek,Ishige Kazuhiro,Kawakami TatsukiORCID

Funder

Agentúra na Podporu Výskumu a Vývoja

Vedecká Grantová Agentúra MšVVaš SR a SAV

Japan Society for the Promotion of Science

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Physics and Astronomy,General Mathematics

Reference27 articles.

1. Amann, H., Fila, M.: A Fujita-type theorem for the Laplace equation with a dynamical boundary condition. Acta Math. Univ. Comenianae 66, 321–328 (1997)

2. Arrieta, J.M., Quittner, P., Rodríguez-Bernal, A.: Parabolic problems with nonlinear dynamical boundary conditions and singular initial data. Differ. Integral Equ. 14, 1487–1510 (2001)

3. Bandle, C., von Below, J., Reichel, W.: Parabolic problems with dynamical boundary conditions: eigenvalue expansions and blow up. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei Mat. Appl. (9) 17, 35–67 (2006)

4. Crank, J.: The Mathematics of Diffusion, 2nd edn. Clarendon Press, Oxford (1975)

5. Denk, R., Prüss, J., Zacher, R.: Maximal $$L_p$$-regularity of parabolic problems with boundary dynamics of relaxation type. J. Funct. Anal. 255, 3149–3187 (2008)

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