On the behavior of solutions of the Cauchy problem for a degenerate parabolic equation with source in the case where the initial function slowly vanishes

We study the Cauchy problem for a degenerate parabolic equation with source and inhomogeneous density of the form in the case where the initial function slowly vanishes as | x | → ∞: We establish conditions for the existence and nonexistence of a global (in time) solution. These conditions strongly...

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Veröffentlicht in:	Ukrainian mathematical journal 2013-04, Vol.64 (11), p.1698-1715
Hauptverfasser:	Martynenko, A. V., Tedeev, A. F., Shramenko, V. N.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Analysis Applications of Mathematics Geometry Mathematics Mathematics and Statistics Statistics
Online-Zugang:	Volltext
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