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Stabilization of the solution to the cauchy problem for a parabolic equation with nonzero lower order coefficients in classes of increasing initial functions.
- Source :
- Doklady Mathematics; Feb2010, Vol. 81 Issue 1, p91-93, 3p
- Publication Year :
- 2010
-
Abstract
- The article analyzes enough conditions on the lower order coefficients of the parabolic equations in the second-order. It discusses the solution of the Cauchy problem in classes of rising initial functions stables x-uniformly to zero on each compact set K ∈ R<superscript>N</superscript>. It presents the reality of coefficients α<subscript>ik</subscript> = α<subscript>ki</subscript> (i, k = 1, 2, ..., N) and the satisfaction of the uniform parabolicity conditions; Ǝ there exist constants ɻ<subscript>0</subscript> 0 and ɻ<subscript>1</subscript>.
Details
- Language :
- English
- ISSN :
- 10645624
- Volume :
- 81
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Doklady Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 48794055
- Full Text :
- https://doi.org/10.1134/S1064562410010254