A control problem related to the parabolic dominative p-Laplace equation
Journal article, Peer reviewed
Published version
Åpne
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http://hdl.handle.net/11250/2638505Utgivelsesdato
2019Metadata
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- Institutt for matematiske fag [2350]
- Publikasjoner fra CRIStin - NTNU [37215]
Sammendrag
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.