B. Siudeja

activity

20062009

most citedIsoperimetric inequalities for eigenvalues of triangles

2 citations · 4 across the 4 of their papers we have counts for

collaborators

4 papers

math.PR2009★ 2 cited

On the Traces of symmetric stable processes on Lipschitz domains

Rodrigo Banuelos, Tadeusz Kulczycki, Bartlomiej Siudeja

It is shown that the second term in the asymptotic expansion as $t \to 0$ of the trace of the semigroup of symmetric stable processes (fractional powers of the Laplacian) of order $…

math.SP2007★ 2 cited

Isoperimetric inequalities for eigenvalues of triangles

Bartłomiej Siudeja

Lower bounds estimates are proved for the first eigenvalue for the Dirichlet Laplacian on arbitrary triangles using various symmetrization techniques. These results can viewed as a…

math.SP2006

Sharp bounds for eigenvalues of triangles

B. Siudeja

We prove that the first eigenvalue of the Dirichlet Laplacian for a triangle in the plane is bounded above by $\frac{π ^{2} L ^{2}}{9 A ^{2}}$ , where $L$ is the perimeter and $A$ is the area of…

math.PR2006

Scattering length for stable processes

B. Siudeja

Let $α \in (0, 2)$ and $X_{t}$ be a symmetric $α$ -stable process. We define the scattering length $Γ (v)$ of the positive potential $v$ and prove several of its basic properties. We use…