{"title":"逆Holder类中具有势的薛定谔算子广义Morrey空间上的有界性","authors":"Guiyun Wang, Shenzhou Zheng","doi":"10.58997/ejde.2023.67","DOIUrl":null,"url":null,"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 H\\\"older 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).
 For more information see https://ejde.math.txstate.edu/Volumes/2023/67/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":"46 1","pages":"0"},"PeriodicalIF":0.8000,"publicationDate":"2023-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Boundedness on generalized Morrey spaces for the Schrodinger operator with potential in a reverse Holder class\",\"authors\":\"Guiyun Wang, Shenzhou Zheng\",\"doi\":\"10.58997/ejde.2023.67\",\"DOIUrl\":null,\"url\":null,\"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 H\\\\\\\"older 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).
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Boundedness on generalized Morrey spaces for the Schrodinger operator with potential in a reverse Holder class
In this article, we prove boundedness for the Hessian of a Schrodinger operator with weak regularity on the coefficients, and potentials satisfying the reverse H\"older 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).
For more information see https://ejde.math.txstate.edu/Volumes/2023/67/abstr.html
期刊介绍:
All topics on differential equations and their applications (ODEs, PDEs, integral equations, delay equations, functional differential equations, etc.) will be considered for publication in Electronic Journal of Differential Equations.