On the Schrödinger equations with B_∞ potentials in the region above a Lipschitz graph

2024/11/27 by Jun Geng, Geng, Jun, Ziyi Xu +1
Mathematics · #Spectral Theory in Mathematical Physics #Advanced Mathematical Physics Problems #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.2411.18458

Abstract

In this paper we investigate the L^p regularity, L^p Neumann and W^1,p problems for generalized Schrödinger operator -div(A∇ )+ V in the region above a Lipschitz graph under the assumption that A is elliptic, symmetric and x_d-independent. Specifically, we prove that the L^p regularity problem is uniquely solvable for 1

Related

• W^1,p estimates for Schrödinger equation in the region above a convex graph
• The L^p Regularity Problem on Lipschitz Domains
• Schrodinger equations with very singular potentials in Lipschitz domains
• Regularity and Neumann problems for operators with real coefficients satisfying Carleson condition
• The L^p Dirichlet and Regularity problems for second order Elliptic Systems with application to the Lamé system