The Oblique Derivative Problem on Lipschitz Domains with L p Data

DOI10.2307/2374647zbMath0676.35019OpenAlexW2320580974MaRDI QIDQ3831327

Jill Pipher, Carlos E. Kenig

Publication date: 1988

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2374647

zbMATH Keywords

Neumann problemweighted inequalityoblique derivativenot well posedboundary data in \(L^ p\)Calderon's theoremclass of weights

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) A priori estimates in context of PDEs (35B45) PDEs with low regular coefficients and/or low regular data (35R05)

Related Items

The Oblique Derivative Problem for the Heat Equation in Lipschitz Cylinders ⋮ Counterexamples and uniqueness for \(L^{p}(\partial \Omega )\) oblique derivative problems ⋮ Weighted estimates in 𝐿² for Laplace’s equation on Lipschitz domains ⋮ Area Integral Estimates for Caloric Functions ⋮ Nonvariational layer potentials with respect to Hölder continuous vector fields ⋮ Boundary layer methods for Lipschitz domains in Riemannian manifolds ⋮ The Neumann problem for elliptic equations with non-smooth coefficients