A1 Journal article (refereed)
Convergence of dynamic programming principles for the p-Laplacian (2020)


del Teso, F., Manfredi, J. J., & Parviainen, M. (2020). Convergence of dynamic programming principles for the p-Laplacian. Advances in Calculus of Variations, Ahead of print. https://doi.org/10.1515/acv-2019-0043


JYU authors or editors


Publication details

All authors or editors: del Teso, Félix; Manfredi, Juan J.; Parviainen, Mikko

Journal or series: Advances in Calculus of Variations

ISSN: 1864-8258

eISSN: 1864-8266

Publication year: 2020

Volume: Ahead of print

Publisher: De Gruyter

Publication country: Germany

Publication language: English

DOI: https://doi.org/10.1515/acv-2019-0043

Publication open access: Not open

Publication channel open access:

Publication is parallel published (JYX): https://jyx.jyu.fi/handle/123456789/68568

Publication is parallel published: https://arxiv.org/abs/1808.10154


Abstract

We provide a unified strategy to show that solutions of dynamic programming principles associated to the p-Laplacian converge to the solution of the corresponding Dirichlet problem. Our approach includes all previously known cases for continuous and discrete dynamic programming principles, provides new results, and gives a convergence proof free of probability arguments.


Keywords: partial differential equations; approximation; numerical methods

Free keywords: Dirichlet problem; dynamic programming principle; discrete approximations; asymptotic mean value properties; convergence; monotone approximations; viscosity solution; generalized viscosity solution; equivalent notions of solutions; numerical methods


Contributing organizations


Related projects


Ministry reporting: No, publication in press

Preliminary JUFO rating: 1


Last updated on 2021-17-09 at 16:41