分野別セミナー

We study convexity preserving properties for a class of time-dependent Hamilton-Jacobi equations in geodesic metric spaces. Convexity preserving properties for nonlinear evolution equations are well known in the Euclidean space. We extend the classical results for first order equations to the Busemann spaces by using a recently developed theory of viscosity solutions on geodesic spaces. We provide two different approaches and discuss several generalizations for more general geodesic spaces. This talk is based on joint work with A. Nakayasu.

リンク：セミナーHP
　　　　福岡大学セミナーハウスへのアクセス