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Pregled bibliografske jedinice broj: 1251379

Harnack inequality and interior regularity for Markov processes with degenerate jump kernels

Kim, Panki; Song, Renming; Vondraček, Zoran
Harnack inequality and interior regularity for Markov processes with degenerate jump kernels // Journal of differential equations, 357 (2023), 138-180 doi:.org/10.1016/j.jde.2023.02.007 (međunarodna recenzija, članak, znanstveni)

CROSBI ID: 1251379 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Harnack inequality and interior regularity for Markov processes with degenerate jump kernels

Autori
Kim, Panki ; Song, Renming ; Vondraček, Zoran

Izvornik
Journal of differential equations (0022-0396) 357 (2023); 138-180

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Jump processes, jump kernel with boundary part, Harnack inequality

Sažetak
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 vanish or blow up at the boundary. Under certain natural conditions on the jump kernel, we show that the scale invariant Harnack inequality holds for any proper open subset $D\subset \mathbb{; ; ; ; R}; ; ; ; ^d$ and prove some interior regularity of harmonic functions. We also prove a Dynkin-type formula and several other interior results.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA

Projekti:
HRZZ-IP-2018-01-4197 - Stohastički procesi sa skokovima i nelokalni operatori (DISPNOLO) (Vondraček, Zoran, HRZZ - 2018-01) ( CroRIS)

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb

Profili:

Avatar Url Zoran Vondraček (autor)

Poveznice na cjeloviti tekst rada:

doi www.sciencedirect.com

Citiraj ovu publikaciju:

Kim, Panki; Song, Renming; Vondraček, Zoran
Harnack inequality and interior regularity for Markov processes with degenerate jump kernels // Journal of differential equations, 357 (2023), 138-180 doi:.org/10.1016/j.jde.2023.02.007 (međunarodna recenzija, članak, znanstveni)
Kim, P., Song, R. & Vondraček, Z. (2023) Harnack inequality and interior regularity for Markov processes with degenerate jump kernels. Journal of differential equations, 357, 138-180 doi:.org/10.1016/j.jde.2023.02.007.
@article{article, author = {Kim, Panki and Song, Renming and Vondra\v{c}ek, Zoran}, year = {2023}, pages = {138-180}, DOI = {doi.org/10.1016/j.jde.2023.02.007}, keywords = {Jump processes, jump kernel with boundary part, Harnack inequality}, journal = {Journal of differential equations}, doi = {doi.org/10.1016/j.jde.2023.02.007}, volume = {357}, issn = {0022-0396}, title = {Harnack inequality and interior regularity for Markov processes with degenerate jump kernels}, keyword = {Jump processes, jump kernel with boundary part, Harnack inequality} }
@article{article, author = {Kim, Panki and Song, Renming and Vondra\v{c}ek, Zoran}, year = {2023}, pages = {138-180}, DOI = {doi.org/10.1016/j.jde.2023.02.007}, keywords = {Jump processes, jump kernel with boundary part, Harnack inequality}, journal = {Journal of differential equations}, doi = {doi.org/10.1016/j.jde.2023.02.007}, volume = {357}, issn = {0022-0396}, title = {Harnack inequality and interior regularity for Markov processes with degenerate jump kernels}, keyword = {Jump processes, jump kernel with boundary part, Harnack inequality} }

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus

Uključenost u ostale bibliografske baze podataka::


  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts

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