Inverse problems for the spectral fractional Laplacian with inhomogeneous Dirichlet boundary data

Fuente: arXiv
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Autori principali: Jaiswal, Ravi Shankar, Kow, Pu-Zhao, Sahoo, Suman Kumar
Natura: Preprint
Pubblicazione: 2026
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author Jaiswal, Ravi Shankar
Kow, Pu-Zhao
Sahoo, Suman Kumar
author_facet Jaiswal, Ravi Shankar
Kow, Pu-Zhao
Sahoo, Suman Kumar
contents In this paper, we study the spectral fractional Laplacian with inhomogeneous Dirichlet boundary data. Our contributions are twofold: first we introduce a Dirichlet-to-Neumann map for this operator and analyze an associated inverse problem; and second we establish an additional density result for the spectral fractional Laplacian.
format Preprint
id arxiv_https___arxiv_org_abs_2604_06905
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Inverse problems for the spectral fractional Laplacian with inhomogeneous Dirichlet boundary data
Jaiswal, Ravi Shankar
Kow, Pu-Zhao
Sahoo, Suman Kumar
Analysis of PDEs
35R11, 35R30, 31B20, 31B30
In this paper, we study the spectral fractional Laplacian with inhomogeneous Dirichlet boundary data. Our contributions are twofold: first we introduce a Dirichlet-to-Neumann map for this operator and analyze an associated inverse problem; and second we establish an additional density result for the spectral fractional Laplacian.
title Inverse problems for the spectral fractional Laplacian with inhomogeneous Dirichlet boundary data
topic Analysis of PDEs
35R11, 35R30, 31B20, 31B30
url https://arxiv.org/abs/2604.06905