Zobrazeno 1 - 10
of 34
pro vyhledávání: '"Katarzyna Pietruska-Pałuba"'
Publikováno v:
Calculus of Variations and Partial Differential Equations. 62
We give Hardy-Stein and Douglas identities for nonlinear nonlocal Sobolev-Bregman integral forms with unimodal L\'evy measures. We prove that the corresponding Poisson integral defines an extension operator for the Sobolev-Bregman spaces. We also sho
Publikováno v:
Journal de Mathématiques Pures et Appliquées. 137:33-69
We prove an optimal extension and trace theorem for Sobolev spaces of nonlocal operators. The extension is given by a suitable Poisson integral and solves the corresponding nonlocal Dirichlet problem. We give a Douglas-type formula for the quadratic
Publikováno v:
Journal of Functional Analysis. 282:109395
Publikováno v:
Potential Analysis. 52:161-202
We study the quenched long time behaviour of the survival probability up to time t, $\mathbf {E}_{x}\left [e^{-{{\int }_{0}^{t}} V^{\omega }(X_{s})\mathrm {d}s}\right ],$ of a symmetric Levy process with jumps, under a sufficiently regular Poissonian
Publikováno v:
Stochastic Processes and their Applications. 128:3897-3939
We establish the Lifschitz-type singularity around the bottom of the spectrum for the integrated density of states for a class of subordinate Brownian motions in presence of the nonnegative Poissonian random potentials, possibly of infinite range, on
Publikováno v:
Probability and Mathematical Statistics. 40
We establish precise asymptotics near zero of the integrated density of states for the random Schr\"{o}dinger operators $(-\Delta)^{\alpha/2} + V^{\omega}$ in $L^2(\mathbb R^d)$ for the full range of $\alpha\in(0,2]$ and a fairly large class of rando
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Publikováno v:
Communications in Contemporary Mathematics. 23:2050065
We investigate the behavior near zero of the integrated density of states for random Schrödinger operators [Formula: see text] in [Formula: see text], [Formula: see text], where [Formula: see text] is a complete Bernstein function such that for some
We prove the existence of the reflected diffusion on a complex of an arbitrary size for a large class of planar simple nested fractals. Such a process is obtained as a folding projection of the free Brownian motion from the unbounded fractal. We give
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Publikováno v:
Stochastic Processes and their Applications. 125:1244-1281
We prove the existence of the integrated density of states for subordinate Brownian motions in presence of the Poissonian random potentials on the Sierpi\'nski gasket.
Comment: 34 pages, 2 figures
Comment: 34 pages, 2 figures