Viscosity solutions of general viscous Hamilton–Jacobi equations

By S. Armstrong, Hung Vinh Tran. 2013

63 citations recorded by the source corpus.

We present comparison principles, Lipschitz estimates and study state constraints problems for degenerate, second-order Hamilton–Jacobi equations.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/9265f6890a0ad2511ece4bcd08c4ed6df91e0fb9

Citations in the corpus

• The vanishing discount problem and viscosity Mather measures. Part 1: the problem on a torus (2016, unknown): “4 can be applied under the structure conditions given in [3, 6, 7].”
• The vanishing discount problem and viscosity Mather measures. Part 2: Boundary value problems (2016, unknown): “Because of this feature, for any subsolution u of λu + F [u] = 0 in Ω with λ ≥ 0 such that u is bounded in Ω, we have u ∈ C m−2 m−1 (Ω) and the Hölder constant is dependent on m, ‖σ‖C(Ω×A0), ‖b‖C(Ω×A0), ‖L0‖C(Ω×A0), minΩ c, λ‖u ‖L∞(Ω) and ∂Ω (see [7], [3], [2]).”