Optimal regularity for Schrödinger equations

DOI10.1016/j.na.2009.03.081zbMath1176.35053OpenAlexW2036983729MaRDI QIDQ732541

Feng-Ping Yao

Publication date: 9 October 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.03.081

zbMATH Keywords

regularitySchrödinger equationOrlicz spacesoptimal

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Smoothness and regularity of solutions to PDEs (35B65) Second-order elliptic equations (35J15) Schrödinger operator, Schrödinger equation (35J10)

Related Items (2)

Regularity in Orlicz spaces for quasi-linear elliptic equations of Schrödinger type ⋮ Regularity theory for the uniformly elliptic operators in Orlicz spaces

Cites Work

• Gradient estimates for a class of parabolic systems
• Parabolic Schrödinger operators
• Regularity theory in Orlicz spaces for the Poisson and heat equations
• Gradient estimates in Orlicz space for nonlinear elliptic equations
• \(L^ p\) estimates for Schrödinger operators with certain potentials
• Maximal inequalities and Riesz transform estimates on \(L^p\) spaces for Schrödinger operators with nonnegative potentials
• \(L^p\) estimate for parabolic Schrödinger operator with certain potentials
• Optimal regularity for the Poisson equation
• Real Interpolation of Sobolev Spaces on Subdomains of Rn
• An existence theorem for a strongly nonlinear elliptic problem in Orlicz spaces
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