Schauder estimate for solutions of Poisson's equation with Neumann\n boundary condition

2013/02/17 by Giacomo Nardi, Nardi, Giacomo · 3 citations
Computer Science · Mathematics · Engineering · #Advanced Mathematical Modeling in Engineering #Advanced Harmonic Analysis Research #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1302.4103

Abstract

In this work we consider the Neumann problem for the Laplace operator and we\nprove an existence result in the H "older spaces and obtain Schauder estimates.\nAccording to our knowledge this result is not explicitly proved in the several\nworks devoted to the Schauder theory, where similar theorems are proved in\ndetail for the Dirichlet and oblique derivative problems. Our contribution is\nto make explicit the existence and the estimate for the Neumann problem.\n

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