Global existence of solutions of parabolic problems with nonlinear boundary conditions

• Autorzy: Pavol Quittner
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1996
• Tom: 33
• Numer: 1
• Strony: 309-314

Daty

wydano

1996

Twórcy

autor

Pavol Quittner

• Institute of Applied Mathematics, Comenius University, Mlynská dolina, 84215 Bratislava, Slovakia

Bibliografia

• [1] H. Amann, Parabolic evolution equations and nonlinear boundary conditions, J. Differential Equations 72 (1988), 201-269.
• [2] H. Amann, Global existence for semilinear parabolic systems, J. Reine Angew. Math. 360 (1985), 47-83.
• [3] M. Fila and P. Quittner, The blow-up rate for the heat equation with a non-linear boundary condition, Math. Methods Appl. Sci. 14 (1991), 197-205.
• [4] J. Filo, Uniform bounds for solutions of a degenerate diffusion equation with nonlinear boundary conditions, Comment. Math. Univ. Carolin. 30 (1989), 485-495.