A Viscosity Solution Approach to the Infinite-Dimensional HJB Equation Related to a Boundary Control Problem in a Transport Equation

Giorgio Fabbri

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Abstract: The paper concerns the infinite-dimensional Hamilton–Jacobi–Bellman equation related to an optimal control problem regulated by a linear transport equation with boundary control. A suitable viscosity solution approach is needed in view of the presence of the unbounded control-related term in the state equation in the Hilbert setting. An existence-and-uniqueness result is obtained.

Date: 2008-01
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Citations: View citations in EconPapers (3)

Published in SIAM Journal on Control and Optimization, 2008, 47 (2), pp.1022 - 1052. ⟨10.1137/050638813⟩

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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-01615450

DOI: 10.1137/050638813

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