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Unbounded variation solutions for uniformly elliptic equations in nondivergence form in dimension three

Le, Nam Q. et al.
arXiv (All) · Papers
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analysis-of-pdes
For each nonnegative integer $m$, we construct smooth symmetric $3\times 3$ coefficient matrices $A_m$ satisfying the fixed ellipticity bound \[ I\leq A_m\leq 2^{81}I \] for which the smooth solutions of uniformly elliptic equations in nondivergence form \[ \text{tr}(A_m(x)D^2 u_m)=A_m(x):D^2u_m
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