Green’s formula and a Dirichlet-to-Neumann operator for fractional-order pseudodifferential operators

DOI10.1080/03605302.2018.1475487zbMath1409.35216arXiv1611.03024OpenAlexW2962750537WikidataQ128535818 ScholiaQ128535818MaRDI QIDQ4628898

Gerd Grubb

Publication date: 25 March 2019

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.03024

zbMATH Keywords

singular integral operatorsfractional Laplacianpseudodifferential boundary operatorsfull Green's formulalocal Neumann condition

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Boundary value problems for PDEs with pseudodifferential operators (35S15) Fractional partial differential equations (35R11)

Related Items

The principal transmission condition ⋮ Integration by parts for nonsymmetric fractional-order operators on a halfspace ⋮ Limited regularity of solutions to fractional heat and Schrödinger equations ⋮ Resolvents for fractional-order operators with nonhomogeneous local boundary conditions ⋮ Singular boundary behaviour and large solutions for fractional elliptic equations ⋮ Fractional‐order operators on nonsmooth domains ⋮ Regularity in \(L_{p}\) Sobolev spaces of solutions to fractional heat equations ⋮ Exact Green's formula for the fractional Laplacian and perturbations ⋮ Positive powers of the Laplacian in the half-space under Dirichlet boundary conditions ⋮ Higher-order fractional Laplacians: An overview

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