Doubly nonlinear diffusive PDEs: new existence results via generalized Wasserstein gradient flows
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Publication:6641701
DOI10.1137/24M1639427MaRDI QIDQ6641701
Thibault Caillet, Filippo Santambrogio
Publication date: 21 November 2024
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Smoothness and regularity of solutions to PDEs (35B65) Degenerate parabolic equations (35K65) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Optimal transportation (49Q22)
Cites Work
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- \{Euclidean, metric, and Wasserstein\} gradient flows: an overview
- Constructing a relativistic heat flow by transport time steps
- Quasilinear elliptic-parabolic differential equations
- A convexity principle for interacting gases
- Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling
- Existence of solutions to degenerate parabolic equations via the Monge-Kantorovich theory
- Stability of flows associated to gradient vector fields and convergence of iterated transport maps
- The five gradients inequality for non quadratic costs
- JKO estimates in linear and non-linear Fokker-Planck equations, and Keller-Segel: \(L^p\) and Sobolev bounds
- Optimal transport and Cournot-Nash equilibria
- The Variational Formulation of the Fokker--Planck Equation
- Optimal Transport
- \(BV\) estimates in optimal transportation and applications
- The five gradients inequality on differentiable manifolds
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