Aleksandrov–Bakelman–Pucci maximum principles for a class of uniformly elliptic and parabolic integro-PDE

Chenchen Mou; Andrzej Święch

doi:10.1016/j.jde.2017.11.004

Author(s)

Chenchen Mou
Andrzej Święch

Detail(s)

Original language	English
Pages (from-to)	2708-2736
Journal / Publication	Journal of Differential Equations
Volume	264
Issue number	4
Online published	13 Nov 2017
Publication status	Published - 15 Feb 2018
Externally published	Yes

Link(s)

DOI	DOI https://doi.org/10.1016/j.jde.2017.11.004 Final Published version
	Check@CityULib
Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-85034609599&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(7b63a905-4341-41ba-ba60-34c281dd65cc).html

Abstract

We prove generalized Aleksandrov–Bakelman–Pucci maximum principles for elliptic and parabolic integro-PDEs of Hamilton–Jacobi–Bellman–Isaacs types, whose PDE parts are either uniformly elliptic or uniformly parabolic. The proofs of these results are based on the classical Aleksandrov–Bakelman–Pucci maximum principles for the elliptic and parabolic PDEs and an iteration procedure using solutions of Pucci extremal equations. We also provide proofs of nonlocal versions of the classical Aleksandrov–Bakelman–Pucci maximum principles for elliptic and parabolic integro-PDEs.

Research Area(s)

Aleksandrov–Bakelman–Pucci maximum principle, Integro-PDE

Citation Format(s)

[ RIS ] [ BibTeX ]

Aleksandrov–Bakelman–Pucci maximum principles for a class of uniformly elliptic and parabolic integro-PDE. / Mou, Chenchen; Święch, Andrzej.
In: Journal of Differential Equations, Vol. 264, No. 4, 15.02.2018, p. 2708-2736.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

Mou, C & Święch, A 2018, 'Aleksandrov–Bakelman–Pucci maximum principles for a class of uniformly elliptic and parabolic integro-PDE', Journal of Differential Equations, vol. 264, no. 4, pp. 2708-2736. https://doi.org/10.1016/j.jde.2017.11.004

Mou, C., & Święch, A. (2018). Aleksandrov–Bakelman–Pucci maximum principles for a class of uniformly elliptic and parabolic integro-PDE. Journal of Differential Equations, 264(4), 2708-2736. https://doi.org/10.1016/j.jde.2017.11.004

Mou C, Święch A. Aleksandrov–Bakelman–Pucci maximum principles for a class of uniformly elliptic and parabolic integro-PDE. Journal of Differential Equations. 2018 Feb 15;264(4):2708-2736. Epub 2017 Nov 13. doi: 10.1016/j.jde.2017.11.004

Mou, Chenchen ; Święch, Andrzej. / Aleksandrov–Bakelman–Pucci maximum principles for a class of uniformly elliptic and parabolic integro-PDE. In: Journal of Differential Equations. 2018 ; Vol. 264, No. 4. pp. 2708-2736.