A control problem related to the parabolic dominative p-Laplace equation
Journal article, Peer reviewed
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OriginalversjonNonlinear Analysis. 2019, 195 . 10.1016/j.na.2019.111721
We show that value functions of a certain time-dependent control problem in Ω × (0, T), with a continuous payoff F on the parabolic boundary, converge uniformly to the viscosity solution of the parabolic dominative p-Laplace equation 2(n + p)ut = ∆u + (p − 2)λn(D2u), with the boundary data F. Here 2 < p < ∞, and λn(D2u) is the largest eigenvalue of the Hessian D2u.