Department of Mathematics
United States of America
Dr. Graber joined the Baylor faculty in 2016. Prior to this he spent two years as a post-doc at ENSTA ParisTech studying optimal control theory, followed by a two-year post-doc in mean field games working with Alain Bensoussan at the University of Texas at Dallas. He and his wife celebrated the birth of their first child in 2016.Dr. Graber's research is in nonlinear partial differential equations, with a particular focus on problems related to control theory and optimization. He studies a wide range of models, from acoustic wave equations with nonlinear damping to Hamilton-Jacobi equations arising in optimal control. His latest research is in mean field game theory.
nonlinear partial differential equations
(with P. Cardaliaguet, A. Porretta, and D. Tonon) "Second order mean field games with degenerate diffusion and local coupling," Nonlinear Differential Equations and Applications (NoDEA), Vol. 22, No. 5 (2015) pp. 1-31.
"Strong Stability and Uniform Decay of Solutions to a Wave Equation with Semilinear Porous Acoustic Boundary Conditions," Nonlinear Analysis: Theory and Applications, Vol. 74, Issue 10, July 2011, pp. 3137-3148.