Doubly nonlinear diffusive PDEs: new existence results via generalized Wasserstein gradient flows
Analysis of PDEs
2024-07-31 v2 Optimization and Control
Abstract
We prove an existence result for a large class of PDEs with a nonlinear Wasserstein gradient flow structure. We use the classical theory of Wasserstein gradient flow to derive an EDI formulation of our PDE and prove that under some integrability assumptions on the initial condition the PDE is satisfied in the sense of distributions.
Cite
@article{arxiv.2402.02882,
title = {Doubly nonlinear diffusive PDEs: new existence results via generalized Wasserstein gradient flows},
author = {Thibault Caillet and Filippo Santambrogio},
journal= {arXiv preprint arXiv:2402.02882},
year = {2024}
}
Comments
Accepted Paper: SIAM J. Math. An