Zobrazeno 1 - 10
of 64
pro vyhledávání: '"Zoran Vondraček"'
Bernstein functions appear in various fields of mathematics, e.g. probability theory, potential theory, operator theory, functional analysis and complex analysis – often with different definitions and under different names. Among the synonyms are `
In this paper we study interior potential-theoretic properties of purely discontinuous Markov processes in proper open subsets $D\subset \mathbb{R}^d$. The jump kernels of the processes may be degenerate at the boundary in the sense that they may van
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::31b92c236f1217f173895a66ef74e5a5
https://www.bib.irb.hr/1251379
https://www.bib.irb.hr/1251379
Publikováno v:
Potential Analysis. 58:465-528
Motivated by some recent potential theoretic results on subordinate killed L\'evy processes in open subsets of the Euclidean space, we study processes in an open set $D\subset {\mathbb R}^d$ defined via Dirichlet forms with jump kernels of the form $
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::527ec93505aa808f645bd2664f6e1a04
https://doi.org/10.1007/s11118-021-09947-8
https://doi.org/10.1007/s11118-021-09947-8
In this paper we study positive self-similar Markov processes obtained by (partially) resurrecting a strictly $\alpha$-stable process at its first exit time from $(0,\infty)$. We construct those processes by using the Lamperti transform. We explain t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cbc8a1a0e914674a1ecb410fa9d53169
http://arxiv.org/abs/2206.06189
http://arxiv.org/abs/2206.06189
Autor:
Zoran Vondraček
Publikováno v:
Mathematische Nachrichten. 294:177-194
In this paper, we look at a probabilistic approach to a non-local quadratic form that has lately attracted some interest. This form is related to a recently introduced non-local normal derivative. The goal is to construct two Markov process: one corr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ba769887b22778a56f0d41d6ccff0007
https://doi.org/10.1002/mana.201900061
https://doi.org/10.1002/mana.201900061
In this paper we consider the Dirichlet form on the half-space $\mathbb{R}^d_+$ defined by the jump kernel $J(x,y)=|x-y|^{-d-\alpha}\mathcal{B}(x,y)$, where $\mathcal{B}(x,y)$ can be degenerate at the boundary. Unlike our previous works [6,7] where w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::52813417c31ae93c4ca1398f44f6afa6
http://arxiv.org/abs/2110.11653
http://arxiv.org/abs/2110.11653
In this paper, we establish sharp two-sided estimates for transition densities of a large class of subordinate Markov processes. As applications, we show that the parabolic Harnack inequality and H\"older regularity hold for parabolic functions of su
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2d87b3a9840bbbe36eddbb5213fccfd9
http://arxiv.org/abs/2103.10152
http://arxiv.org/abs/2103.10152
We study semilinear problems in general bounded open sets for non-local operators with exterior and boundary conditions. The operators are more general than the fractional Laplacian. We also give results in case of bounded C 1 , 1 open sets.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4022014c19358fbf5d782b5bfa12e7ec
Let $Z$ be a subordinate Brownian motion in $\R^d$, $d\ge 2$, via a subordinator with Laplace exponent $\phi$. We kill the process $Z$ upon exiting a bounded open set $D\subset \R^d$ to obtain the killed process $Z^D$, and then we subordinate the pro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1f5fdf35954fb553a445690249593428
https://doi.org/10.1007/s11118-019-09762-2
https://doi.org/10.1007/s11118-019-09762-2
Publikováno v:
Transactions of the American Mathematical Society. 371:3917-3969
Let $W^D$ be a killed Brownian motion in a domain $D\subset {\mathbb R}^d$ and $S$ an independent subordinator with Laplace exponent $\phi$. The process $Y^D$ defined by $Y^D_t=W^D_{S_t}$ is called a subordinate killed Brownian motion. It is a Hunt p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1b1a1b1aaecc1acd13815ac19dbed1da
https://doi.org/10.1090/tran/7358
https://doi.org/10.1090/tran/7358