English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We provide a deterministic-control-based interpretation for a broad class offully nonlinear parabolic and elliptic PDEs with continuous Neumann boundaryconditions in a smooth domain. We construct families of two-person gamesdepending on a small parameter which extend those proposed by Kohn and Serfaty(2010). These new games treat a Neumann boundary condition by introducing somespecific rules near the boundary. We show that the value function converges, inthe viscosity sense, to the solution of the PDE as the parameter tends to zero.Moreover, our construction allows us to treat both the oblique and the mixedtype Dirichlet-Neumann boundary conditions.

A game interpretation of the Neumann problem for fully nonlinear parabolic and elliptic equations