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math.AP2025
A Strict Comparison Principle for Integro-Differential Hamilton-Jacobi-Bellman Equations on Domains with Boundary
Serena Della Corte, Fabian Fuchs, Richard C. Kraaij +1
This work provides a comparison principle for viscosity solutions to boundary value problems on (partially) bounded, cylindrical spaces. The comparison principle is based on a test…
math.AP2025
Existence of Viscosity Solutions to Abstract Cauchy Problems via Nonlinear Semigroups
Fabian Fuchs, Max Nendel
In this work, we provide conditions for nonlinear monotone semigroups on locally convex vector lattices to give rise to a generalized notion of viscosity solutions to a related non…
math.AP2024
A comparison principle based on couplings of partial integro-differential operators
Serena Della Corte, Fabian Fuchs, Richard C. Kraaij +1
This paper is concerned with a comparison principle for viscosity solutions to Hamilton-Jacobi (HJ), -Bellman (HJB), and -Isaacs (HJI) equations for general classes of partial inte…