论文信息 - Phragmen-Lindelöf type results for second order quasilinear parabolic equations in ℝ2

Phragmen-Lindelöf type results for second order quasilinear parabolic equations in ℝ2

In this paper Phragmen-Lindelöf type growth-decay estimates are derived for solutions of initial-boundary value problems associated with a class of quasilinear parabolic equations defined on a semi-infinite strip in ℝ2. The particular problems considered are ones in which homogeneous initial data and homogeneous Dirichlet conditions on the long sides of the strip are prescribed.

Lawrence E. Payne | Changhao Lin | L. Payne | Changhao Lin

[1] J. N. Flavin,et al. Asymptotic behaviour of solutions to semi-linear elliptic equations on the half-cylinder , 1992 .

[2] James K. Knowles,et al. Recent Developments Concerning Saint-Venant's Principle , 1983 .

[3] Bruno A. Boley. Upper bounds and Saint-Venant’s principle in transient heat conduction , 1960 .

[4] James K. Knowles,et al. On the spatial decay of solutions of the heat equation , 1971 .

[5] C. Horgan,et al. Decay estimates for second-order quasilinear partial differential equations , 1984 .

[6] W. Edelstein. A spatial decay estimate for the heat equation , 1969 .

[7] L. Wheeler,et al. Spatial decay estimates in transient heat conduction , 1984 .

[8] Spatial decay estimates for the heat equation via the maximum principle , 1976 .