Journal
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
Volume 32, Issue 7-9, Pages 1245-1260Publisher
TAYLOR & FRANCIS INC
DOI: 10.1080/03605300600987306
Keywords
degenerate elliptic equations; fractional Laplacian
Categories
Ask authors/readers for more resources
The operator square root of the Laplacian (-Delta)1/2 can be obtained from the harmonic extension problem to the upper half space as the operator that maps the Dirichlet boundary condition to the Neumann condition. In this article, we obtain similar characterizations for general fractional powers of the Laplacian and other integro-differential operators. From those characterizations we derive some properties of these integro-differential equations from purely local arguments in the extension problems.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available