Hamilton-Jacobi-Bellman Equation Arising from Optimal Portfolio Selection Problem
Daniel Sevcovic and
Cyril Izuchukwu Udeani
Papers from arXiv.org
Abstract:
The Hamilton-Jacobi-Bellman equation arising from the optimal portfolio selection problem is studied by means of the maximal monotone operator method. The existence and uniqueness of a solution to the Cauchy problem for the nonlinear parabolic partial integral differential equation in an abstract setting are investigated by using the Banach fixed-point theorem, the Fourier transform, and the monotone operators technique.
Date: 2023-08
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Persistent link: https://EconPapers.repec.org/RePEc:arx:papers:2308.02627
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