Uniqueness holds for continuous viscosity solutions of path-dependent HJ equations when the Hamiltonian is continuous and locally Lipschitz in the functional variable, either with sublinear growth in the gradient or with an added local Lipschitz condition on the solution itself.
Kaise, Convergence of discrete-time deterministic games to path-dependent Isaacs partial differ- ential equations under quadratic growth conditions, Appl
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AP 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Path-dependent Hamilton--Jacobi equations: Uniqueness results for viscosity solutions defined via families of compact sets
Uniqueness holds for continuous viscosity solutions of path-dependent HJ equations when the Hamiltonian is continuous and locally Lipschitz in the functional variable, either with sublinear growth in the gradient or with an added local Lipschitz condition on the solution itself.