Ten Equivalent Definitions of the Fractional Laplace Operator

An Extension Problem Related to the Fractional Laplacian

Communications in Partial Differential Equations · 2007 · 2.3K citations · Full text

Natural Sciences, Mathematics, Physics +11

Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian

Luis Caffarelli, Sandro Salsa, Luís Silvestre · Inventiones mathematicae · 2007 · 558 citations · Full text

Natural Sciences, Mathematics, Physics +15

Extension Problem and Harnack's Inequality for Some Fractional Operators

Pablo Raúl Stinga, José L. Torrea · Communications in Partial Differential Equations · 2010 · 520 citations

Natural Sciences, Physics, Number Theory +11

Censored stable processes

Krzysztof Bogdan, Krzysztof Burdzy, Zhen-Qing Chen · Probability Theory and Related Fields · 2003 · 331 citations · Full text

Some theorems concerning 2-dimensional Brownian motion

Frank Spitzer · Transactions of the American Mathematical Society · 1958 · 214 citations · Full text

Engineering, Mathematics, Dynamical Systems +9