Mathematics teaching and research group
Zhejiang Institute of Communications
Hangzhou 311112, China
email: 154621582@qq.com
Department of Mathematics
Beijing Jiaotong University
Beijing 100044, China
email: shzhzheng@bjtu.edu.cn
Guiyun Wang, Shenzhou Zheng
Abstract:
In this article, we prove boundedness for the Hessian of
a Schrodinger operator with weak regularity on the coefficients,
and potentials satisfying the reverse Holder condition.
This is done in in generalized Morrey spaces, and in vanishing generalized Morrey
spaces.
On the Schrodinger operator \(L=-a_{ij}(x)D_{ij}+V(x)\) it is assumed that
\(a_{ij}\in \rm{BMO}_{\theta}(\rho)\) (a generalized Morrey space) and that
\(V(x)\in B^*_{n/2}\) (a reverse Holder class).
Submitted May 29, 2023. Published October 13, 2023.
Math Subject Classifications: 35J10, 42B35, 42B20.
Key Words: Schrodinger operators; reverse Holder class; generalized Morrey space;
vanishing generalized Morrey space; BMO-theta-rho coefficients.
DOI: 10.58997/ejde.2023.67
Show me the PDF file (386 KB), TEX file for this article.
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Guiyun Wang Mathematics teaching and research group Zhejiang Institute of Communications Hangzhou 311112, China email: 154621582@qq.com |
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Shenzhou Zheng Department of Mathematics Beijing Jiaotong University Beijing 100044, China email: shzhzheng@bjtu.edu.cn |
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