Linear and nonlinear fractional elliptic problems

DOI10.1090/conm/754/15145zbMath1481.65220arXiv1906.04230OpenAlexW3046271646MaRDI QIDQ4998632

Juan Pablo Borthagaray, Wenbo Li, Ricardo H. Nochetto

Publication date: 9 July 2021

Published in: 75 Years of Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.04230

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Variational methods applied to PDEs (35A15) Minimal surfaces and optimization (49Q05) Error bounds for boundary value problems involving PDEs (65N15) Fractional derivatives and integrals (26A33) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Fractional partial differential equations (35R11) Numerical methods for variational inequalities and related problems (65K15)

Related Items (8)

Weighted Analytic Regularity for the Integral Fractional Laplacian in Polygons ⋮ Finite element algorithms for nonlocal minimal graphs ⋮ Fractional elliptic problems on Lipschitz domains: regularity and approximation ⋮ An a posteriori error estimator for the spectral fractional power of the Laplacian ⋮ Unnamed Item ⋮ Quasi-optimal convergence rate for an adaptive method for the integral fractional Laplacian ⋮ Local Energy Estimates for the Fractional Laplacian ⋮ On the stability of Scott-Zhang type operators and application to multilevel preconditioning in fractional diffusion

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