| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4613636 | Journal of Differential Equations | 2006 | 19 Pages |
Abstract
Let u(t,x) be the solution of the heat equation (∂t-Δx)u(t,x)=0 on subject to u(0,x)=f(x) on Rn. The main goal of this paper is to characterize such a nonnegative measure μ on that f(x)↦u(t2,x) induces a bounded embedding from the Sobolev space , p∈[1,n) into the Lebesgue space , q∈(0,∞).
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
