On the Shape of the Ground State Eigenfunction for Stable Processes

On extensions of the Brunn-Minkowski and Prékopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation

H. J. Brascamp, Élliott H. Lieb · Journal of Functional Analysis · 1976 · 672 citations

Natural Sciences, Economics, Differential Equations +10

Some theorems on stable processes

Robert Blumenthal, R. K. Getoor · Transactions of the American Mathematical Society · 1960 · 403 citations · Full text

Engineering, Mathematics, Dynamical Systems +11

The boundary Harnack principle for the fractional Laplacian

Krzysztof Bogdan · Studia Mathematica · 1997 · 236 citations · Full text

Engineering, Economics, Stochastic Processes +7

On the distribution of first hits for the symmetric stable processes.

Robert Blumenthal, R. K. Getoor, Daniel Ray · Transactions of the American Mathematical Society · 1961 · 198 citations · Full text

Engineering, Mathematics, Dynamical Systems +15

Potential theory for the α-stable Schrödinger operator on bounded Lipschitz domains

Krzysztof Bogdan · Studia Mathematica · 1999 · 184 citations · Full text

Natural Sciences, Mathematics, Physics +7