Gradient estimates for the fundamental solution of Lévy type operator

Abstract: We prove a gradient estimate and the Hölder continuity of the gradient for the fundamental solution of a class of α-stable type operators with α ∈ (0, 1), which improve known results in the literature where the condition α > 1/2 is commonly assumed.

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
Gradient estimates for the fundamental solution of Lévy type operator ; volume:9 ; number:1 ; year:2020 ; pages:1453-1462 ; extent:10
Advances in nonlinear analysis ; 9, Heft 1 (2020), 1453-1462 (gesamt 10)

Creator
Liu, Wei
Song, Renming
Xie, Longjie

DOI
10.1515/anona-2020-0062
URN
urn:nbn:de:101:1-2405021602522.541463121947
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
14.08.2025, 10:50 AM CEST

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Associated

  • Liu, Wei
  • Song, Renming
  • Xie, Longjie

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