Publications (22)
Mean Field Games with infinitely degenerate diffusion and non-coercive Hamiltonian
Yiming Jiang, Jingchuang Ren, Yawei Wei +1
In this paper, we consider a class of infinitely degenerate partial differential systems to obtain the Nash equilibria in the mean field games. The degeneracy in the diffusion and…
Well-posedness of the mean field game master equation on Carnot tori
Yiming Jiang, Yawei Wei, Yiyun Yang
We study the master equation for a second-order mean field game on Carnot tori, which means the generic player can move periodically only along admissible trajectories given by the…
Regularity results for linear parabolic equations on Carnot tori via mollifier kernel construction
Yiming Jiang, Yawei Wei, Yiyun Yang
This paper first proves the existence, uniqueness and regularity of the solution to a class of linear backward parabolic equations on Carnot tori, namely the periodic linear parabo…
Wellposedness of the Master Equation for Mean Field Games with Grushin Type Diffusion
Yiming Jiang, Yawei Wei, Yiyun Yang
We study the wellposedness of the master equation for a second-order mean field games with the Grushin type diffusion. In order to do this, we obtain the properties of its solution…
On a class of Nonlinear Grushin equations
Wolfram Bauer, Yawei Wei, Xiaodong Zhou
In this paper, we study two kinds of nonlinear degenerate elliptic equations containing the Grushin operator. First, we prove radial symmetry and a decay rate at infinity of soluti…
Pohozaev identities and Kelvin transformation of semilinear Grushin equation
Yawei Wei, Xiaodong Zhou
In this paper, we study Pohozaev identities, Kelvin transformation and their applications of semilinear Grushin equation. First, we establish two Pohozaev identities generated from…