2000 character limit reached
Well-posedness of Wasserstein Gradient Flow Solutions of Higher Order Evolution Equations (1112.4407v2)
Published 19 Dec 2011 in math.AP
Abstract: A relaxed notion of displacement convexity is defined and used to establish short time existence and uniqueness of Wasserstein gradient flows for higher order energy functionals. As an application, local and global well-posedness of different higher order non-linear evolution equations are derived. Examples include the thin-film equation and the quantum drift diffusion equation in one spatial variable.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.