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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
Nonexistence of vanishing-viscosity limits for mechanical Hamiltonian ergodic problems
Ziran Liu, Hung V. Tran, Yifeng Yu
For , let be the solution of the ergodic problem \[ \frac12 |Dϕ^\varepsilon|^2+F(x)-\varepsilonΔϕ^\varepsilon=c(\varepsilon) \qquad \text{on } \mathb…