Well-Posedness of Second-Order Uniformly Elliptic PDEs with Neumann Conditions
Haruki Kono
TL;DR
This paper proves existence, uniqueness, and regularity results for second-order elliptic PDEs with Neumann boundary conditions, extending previous work and providing new Schauder estimates.
Contribution
It extends Nardi's (2015) results by establishing well-posedness and Schauder estimates for elliptic PDEs with Neumann conditions.
Findings
Existence and uniqueness of solutions established.
Schauder estimates derived for the PDEs.
Extension of previous results to Neumann boundary conditions.
Abstract
Extending the results of Nardi (2015), this note establishes an existence and uniqueness result for second-order uniformly elliptic PDEs in divergence form with Neumann boundary conditions. A Schauder estimate is also derived.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Nonlinear Partial Differential Equations · Stability and Controllability of Differential Equations