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math.AP2026
Unbounded variation solutions for uniformly elliptic equations in nondivergence form in dimension three
Nam Q. Le, Qi Sun, Hung V. Tran
For each nonnegative integer , we construct smooth symmetric coefficient matrices satisfying the fixed ellipticity bound \[ I\leq A_m\leq 2^{81}I \] for which…
math.AP2026
Optimal convergence rates in periodic homogenization of nonconvex Hamilton--Jacobi equations
Jiwoong Jang, Qi Sun, Hung V. Tran +1
We study the convergence rates in periodic homogenization of general nonconvex, coercive Hamilton--Jacobi equations. We show that the optimal convergence rate is $O(\varepsilon^{1/…