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Ordinary or partial differential equations. Delay differential equations, neutral equations, integro-differential equations. Well-posedness, asymptotic behavior, and related questions.

1 vote
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Interior gradient estimate for uniformly elliptic equations

I am struggling with a problem like this: In dimension $n\geq 3$, consider the following uniformly elliptic equation $$a^{ij}(x)u_{ij}(x)+u_{nn}=0$$ where $i,j = 1, \dots, n-1$, and $\lambda \opera …
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