A1 Journal article (refereed)
Elliptic Harnack's inequality for a singular nonlinear parabolic equation in non‐divergence form (2022)

Kurkinen, T., Parviainen, M., & Siltakoski, J. (2022). Elliptic Harnack's inequality for a singular nonlinear parabolic equation in non‐divergence form. Bulletin of the London Mathematical Society, Early View. https://doi.org/10.1112/blms.12739

JYU authors or editors

Publication details

All authors or editors: Kurkinen, Tapio; Parviainen, Mikko; Siltakoski, Jarkko

Journal or series: Bulletin of the London Mathematical Society

ISSN: 0024-6093

eISSN: 1469-2120

Publication year: 2022

Publication date: 27/10/2022

Volume: Early View

Publisher: Wiley-Blackwell

Publication country: United Kingdom

Publication language: English

DOI: https://doi.org/10.1112/blms.12739

Publication open access: Openly available

Publication channel open access: Partially open access channel

Publication is parallel published (JYX): https://jyx.jyu.fi/handle/123456789/83725

Abstract

We prove an elliptic Harnack's inequality for a general form of a parabolic equation that generalizes both the standard parabolic -Laplace equation and the normalized version that has been proposed in stochastic game theory. This version of the inequality does not require the intrinsic waiting time and we get the estimate with the same time level on both sides of the inequality.

Keywords: mathematics; equations; inequalities (mathematics)

Contributing organizations

Ministry reporting: No, publication in press

JUFO rating: 2

Preliminary JUFO rating: 2