Weakly coupled systems of the infinity Laplace equations

DOI10.1090/tran6694zbMath1359.35054arXiv1403.3760OpenAlexW2155222917MaRDI QIDQ5506657

Hung V. Tran, Hiroyoshi Mitake

Publication date: 13 December 2016

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.3760

zbMATH Keywords

viscosity solutionstug-of-warweakly coupled systemspiecewise-deterministic Markov processescomparison with conesinfinity Laplace equations

Mathematics Subject Classification ID

Dynamic programming in optimal control and differential games (49L20) Degenerate elliptic equations (35J70) Second-order elliptic systems (35J47) Viscosity solutions to PDEs (35D40)

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Weakly coupled systems of fully nonlinear parabolic equations in the Heisenberg group, Liouville Theorems for infinity Laplacian with gradient and KPP type equation, A game theoretical approximation for a parabolic/elliptic system with different operators, A game theoretical approximation for solutions to nonlinear systems with obstacle-type equations, A game theoretical approach for a nonlinear system driven by elliptic operators, Weak KAM theory for a weakly coupled system of Hamilton-Jacobi equations

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