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Regularity of solutions to a fractional elliptic problem with mixed Dirichlet–Neumann boundary data

José Carmona, Eduardo Colorado, Tommaso Leonori, Alejandro Ortega

2020Advances in Calculus of Variations13 citationsDOIOpen Access PDF

Abstract

Abstract In this work we study regularity properties of solutions to fractional elliptic problems with mixed Dirichlet–Neumann boundary data when dealing with the spectral fractional Laplacian .

Topics & Concepts

MathematicsFractional LaplacianNeumann boundary conditionDirichlet distributionBoundary (topology)Mathematical analysisBoundary value problemPure mathematicsNonlinear Partial Differential EquationsAdvanced Mathematical Modeling in EngineeringDifferential Equations and Boundary Problems
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