Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8896779 | Journal of Functional Analysis | 2018 | 28 Pages |
Abstract
In this paper, we are concerned with the nonrelativistic limit of the following pseudo-relativistic equation with Hartree nonlinearity or power type nonlinearity(âħ2c2Î+m2c4âmc2)u+μu=N(u), where c denotes the speed of light. We prove that as cââ the ground states of this equation converges to the ground state of its nonrelativistic counterpartâħ22mÎu+μu=N(u) with convergence rate 1/c2 in every Hs norms. Moreover, we show that this rate is optimal.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Woocheol Choi, Younghun Hong, Jinmyoung Seok,