Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5024821 | Nonlinear Analysis: Theory, Methods & Applications | 2017 | 33 Pages |
Abstract
The equation with more general potential, âtu=Îu+V(x)|u|αu,V(x)|x|γâLâ(RN), is also studied. In particular, for initial data Ï(x)â¼Ï(x)|x|â(2âγ)/α,|x| large, we show that the large time behavior is linear if V is compactly supported near the origin, while it is nonlinear if V is compactly supported near infinity.
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Authors
Byrame Ben Slimene, Slim Tayachi, Fred B. Weissler,