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Tug-of-War and the p-Laplace Equation : Exploring a Mathematical link between Game Theory and Nonlinear Elliptic PDE's

In this report the connection between p-harmonic functions and the tug-of-war game is presented and some applications are mentioned. Moreover, sufficient background information of solutions to the p-Laplace equation is given. And to finish, an example of the game is given with simulations. / I denna rapport presenteras kopplingen mellan p-harmoniska funktioner och spelet tug-of-war och några applikationer nämns. Utöver så ges tillräckligt med infomration om lösningar till p-Laplace ekvation. Som avslutning, ges ett exempel på spelet tillsammans med simuleringar.

Identiferoai:union.ndltd.org:UPSALLA1/oai:DiVA.org:umu-209211
Date January 2023
CreatorsChronéer, Zackarias
PublisherUmeå universitet, Institutionen för matematik och matematisk statistik
Source SetsDiVA Archive at Upsalla University
LanguageEnglish
Detected LanguageEnglish
TypeStudent thesis, info:eu-repo/semantics/bachelorThesis, text
Formatapplication/pdf
Rightsinfo:eu-repo/semantics/openAccess

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