Uniqueness for nonlinear Fokker-Planck equations and for McKean-Vlasov SDEs: the degenerate case
From MaRDI portal
Publication:6040828
DOI10.1016/j.jfa.2023.109980zbMath1514.60071arXiv2203.00122OpenAlexW4366824423MaRDI QIDQ6040828
Viorel Barbu, Michael Roeckner
Publication date: 22 May 2023
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.00122
Monotone operators and generalizations (47H05) Equations involving nonlinear operators (general) (47J05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)
Related Items (3)
Existence of Optimal Control for Nonlinear Fokker–Planck Equations in \(\boldsymbol{L^1(\mathbb{R}^d)}\). ⋮ Controlling a generalized Fokker-Planck equation via inputs with nonlocal action ⋮ Strong and weak convergence for the averaging principle of DDSDE with singular drift
Cites Work
- Unnamed Item
- Unnamed Item
- Well-posedness of multidimensional diffusion processes with weakly differentiable coefficients
- Generalized solutions to nonlinear Fokker-Planck equations
- Uniqueness for Fokker-Planck equations with measurable coefficients and applications to the fast diffusion equation
- From nonlinear Fokker-Planck equations to solutions of distribution dependent SDE
- Convergence of an entropic semi-discretization for nonlinear Fokker-Planck equations in \(\mathbb R^d\)
- Mean field games
- Functional analysis, Sobolev spaces and partial differential equations
- Uniqueness of solutions of the initial-value problem for \(u_t- \Delta\varphi (u)=0\)
- Entropy solutions for nonlinear degenerate problems
- Well-posedness for non-isotropic degenerate parabolic-hyperbolic equations
- \(N\)-player games and mean-field games with absorption
- On a strong form of propagation of chaos for McKean-Vlasov equations
- Uniqueness for a class of stochastic Fokker-Planck and porous media equations
- Semi-linear second-order elliptic equations in \(L^1\)
- Weak existence and uniqueness for McKean-Vlasov SDEs with common noise
- Uniqueness for nonlinear Fokker-Planck equations and weak uniqueness for McKean-Vlasov SDEs
- The invariance principle for nonlinear Fokker-Planck equations
- Flow selections for (nonlinear) Fokker-Planck-Kolmogorov equations
- Solutions for nonlinear Fokker-Planck equations with measures as initial data and Mckean-Vlasov equations
- Weak solutions to Fokker-Planck equations and mean field games
- Short-time correlations of many-body systems described by nonlinear Fokker-Planck equations and Vlasov-Fokker-Planck equations
- The semigroup approach to first order quasilinear equations in several space variables
- On Singular Integrals
- A certain class of diffusion processes associated with nonlinear parabolic equations
- Uniqueness of the solutions of ut−Δϕ(u) = 0 with initial datum a measure
- Quasi-Linear (Stochastic) Partial Differential Equations with Time-Fractional Derivatives
- Weak solutions to Vlasov–McKean equations under Lyapunov-type conditions
- A CLASS OF MARKOV PROCESSES ASSOCIATED WITH NONLINEAR PARABOLIC EQUATIONS
- Nonlinear Differential Equations of Monotone Types in Banach Spaces
- Nonlinear Fokker–Planck Equations with Time-Dependent Coefficients
- Measure and integration theory. Transl. from the German by Robert B. Burckel
- A Langevin approach for the microscopic dynamics of nonlinear Fokker-Planck equations
- On a quasilinear degenerate system arising in semiconductors theory. I: Existence and uniqueness of solutions
- The evolution to equilibrium of solutions to nonlinear Fokker-Planck equation
- Correction to: ``Uniqueness for nonlinear Fokker-Planck equations and weak uniqueness for McKean-Vlasov SDEs
This page was built for publication: Uniqueness for nonlinear Fokker-Planck equations and for McKean-Vlasov SDEs: the degenerate case
