What is recorded here?
Realized fractional powers of the Laplacian as Dirichlet-to-Neumann maps for a local degenerate elliptic extension problem, enabling nonlocal properties to be studied through local arguments.
Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.
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.
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- arXiv manuscript for the fractional-Laplacian extension
- Publisher record for the fractional-Laplacian extension
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People and systems
Luis Caffarelli; Luis Silvestre
The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.
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Documented countries / regions: United States
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English catalogue narrative
Caffarelli and Silvestre: extension problem for the fractional Laplacian
Realized fractional powers of the Laplacian as Dirichlet-to-Neumann maps for a local degenerate elliptic extension problem, enabling nonlocal properties to be studied through local arguments.
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.
Reading status
This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.
People and systems
Luis Caffarelli; Luis Silvestre
The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.