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March/April 2014 On the existence and uniqueness of $p$-harmonious functions
Hannes Luiro, Mikko Parviainen, Eero Saksman
Differential Integral Equations 27(3/4): 201-216 (March/April 2014).

Abstract

We give a self-contained and short proof for the existence, uniqueness and measurability of the $p$-harmonious functions in the case $2\le p < \infty$. The proofs only use elementary analytic tools. As a consequence, we obtain existence, uniqueness and measurability of value functions for the tug-of-war game with noise.

Citation

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Hannes Luiro. Mikko Parviainen. Eero Saksman. "On the existence and uniqueness of $p$-harmonious functions." Differential Integral Equations 27 (3/4) 201 - 216, March/April 2014.

Information

Published: March/April 2014
First available in Project Euclid: 30 January 2014

zbMATH: 1324.49029
MathSciNet: MR3161602

Subjects:
Primary: 35A35, 35J92, 91A05, 91A15

Rights: Copyright © 2014 Khayyam Publishing, Inc.

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Vol.27 • No. 3/4 • March/April 2014
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