Reflected Symmetric α-Stable Processes and Regional Fractional Laplacian

171 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

On Neumann Type Problems for nonlocal Equations set in a half Space (2011, methodology): “[6] and the reflected α-stable process of Guan and Ma [13].”
Integration by Parts Formula for Regional Fractional Laplacian (2006, methodology): “G are formulated in [ 10 ], see Theorem 1.1 below.”
Existence and stability of standing waves for nonlinear fractional Schr\"odinger equations with Hartree type nonlinearity (2012, background): “The Lévy processes, occuring widely in physics, chemistry and biology, lead to equations with the fractional Laplacians which have been recently studied by [1][8][23].”
A concave—convex elliptic problem involving the fractional Laplacian (2010, background): “and it can be shown that it is a combination of Bessel functions, see [29].”
Two-sided heat kernel estimates for censored stable-like processes (2010, background): “This indicates that censored processes are natural and important for boundary problems in analysis [16,17].”