|
|||||
|
|
Critical heat kernel estimates for Schrödinger operators via Hardy-Sobolev inequalities |
|
| Authors: | G Barbatis S Filippas |
| Institution: | a Department of Mathematics, University of Ioannina, 45110 Ioannina, Greece b Department of Applied Mathematics, University of Crete, 71409 Heraklion, Greece c Department of Mathematics, University of Crete, 71409 Heraklion, Greece d Institute of Applied and Computational Mathematics, FORTH, 71110 Heraklion, Greece |
| Abstract: | We obtain Sobolev inequalities for the Shcrödinger operator −Δ−V, where V has critical behaviour V(x)=((N−2)/2)2|x|−2 near the origin. We apply these inequalities to obtain point-wise estimates on the associated heat kernel, improving upon earlier results. |
| Keywords: | 35K65 26D10 (35K20 35B05) |
| 本文献已被 ScienceDirect 等数据库收录！ | |