The definition of uniform elliptic condition. Given an $n \times n$-matrix $A(x)$ depending on some $x$ sometimes I see it framed as $$\lambda I \leq A(x) \leq \Lambda I$$ for $\lambda, \Lambda >0$, i.e. $$\lambda |v|^2 \leq v^T A(x)v \leq \Lambda |v|^2$$ and other times as $$\lambda I \leq A(x)$$ Are the two notions equivalent?
2026-03-26 03:11:03.1774494663
Uniform elliptic condition
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