University of Jyväskylä

Dissertation: 19.5.2018 M.Sc. Joonas Heino (Facul­ty of Mat­hema­tics and Science, Mathematics)

Start date: May 19, 2018 12:00 PM

End date: May 19, 2018 03:00 PM

Location: Seminaarinmäki, Historica, H320

Joonas HeinoM.Sc. Joonas Heino defends his doctoral dissertation in Mathematics "On the local and global regularity of tug-of-war games". Opponent Professor Juan J. Manfredi (University of Pittsburgh, USA) and Custos Docent Mikko Parviainen (University of Jyväskylä). The doctoral dissertation is held in English.

Abstract: This thesis studies local and global regularity properties of a stochastic two-player zero-sum game called tug-of-war. In particular, we study value functions of the game locally as well as globally, that is, close to the boundaries of the game domains. Furthermore, we formulate a continuous time stochastic differential game and discuss, among other things, the equicontinuity of the families of value functions. The main motivation is to understand the properties of the games on their own right. As applications, we obtain an existence and a regularity result for a nonlinear elliptic p-Laplace type partial differential equation and a characterization of the solution to a parabolic p-Laplace type equation.

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Joonas Heino
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