Properties of solutions to the initial-boundary value problem for a porous media-type equation

The initial‐boundary value problem in a semi‐infinite strip (0, ∞)×(0, T) for a degenerate parabolic equation of the form u, t= φ(u)xx + b(x)φ(u)x is considered. The properties of solutions in the case where the initial function is compactly supported and for constant initial and boundary data are i...

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Veröffentlicht in:	Mathematical methods in the applied sciences 1992-07, Vol.15 (5), p.299-314
1. Verfasser:	Goncerzewicz, Jan
Format:	Artikel
Sprache:	eng
Schlagworte:	Exact sciences and technology Mathematical analysis Mathematics Partial differential equations Sciences and techniques of general use
Online-Zugang:	Volltext
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Zusammenfassung:	The initial‐boundary value problem in a semi‐infinite strip (0, ∞)×(0, T) for a degenerate parabolic equation of the form u, t= φ(u)xx + b(x)φ(u)x is considered. The properties of solutions in the case where the initial function is compactly supported and for constant initial and boundary data are investigated.
ISSN:	0170-4214 1099-1476
DOI:	10.1002/mma.1670150502