Virginia TechDay, Martin V.2014-05-282014-05-282009Day, M. V., "A uniqueness result for p-Monotone viscosity solutions of Hamilton-Jacobi equations in bounded domains," SIAM J. Control Optim., 47(6), 3167-3184, (2009). DOI: 10.1137/0707004010363-0129http://hdl.handle.net/10919/48138We consider a class of Hamilton-Jacobi equations H(x, Du(x)) - 0 with no u-dependence and with continuity properties consistent with recent applications in queueing theory. Continuous viscosity solutions are considered in a compact polyhedral domain, with oblique derivative (Neumann-type) boundary conditions. Comparison and uniqueness results are presented, which use monotonicity of H(x, p) in the p variable for values of p in the appropriate sub-and superdifferential sets of the solution u(x). Several examples illustrate the results.en-USIn Copyrightviscosity solutionhamilton-jacobi equationuniquenessautomation & control systemsmathematics, appliedArticle - Refereedhttp://epubs.siam.org/doi/abs/10.1137/070700401https://doi.org/10.1137/070700401