Caffarelli and Silvestre: extension problem for the fractional Laplacian

What changed

Identified fractional Laplacian as Dirichlet-to-Neumann operator for degenerate elliptic extension.

Scientific scope

The record is the exact two-author 2007 paper and its stated extension construction. It does not absorb all fractional PDE theory, later nonlinear generalizations or applications whose assumptions differ.

Evidence

The linked sources identify this contribution and its scope. WRS has not independently reconstructed the scientific claims. The record is the exact two-author 2007 paper and its stated extension construction. It does not absorb all fractional PDE theory, later nonlinear generalizations or applications whose assumptions differ.

Contributors

• Luis Caffarelli · SCIENCE: Named source author of the scoped work; individual effort shares are not measured.
• Luis Silvestre · SCIENCE: Named source author of the scoped work; individual effort shares are not measured.

• arXiv manuscript for the fractional-Laplacian extension

Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.

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