Answer by Scott Armstrong for monotone parabolic systems, convex variational...
Let $\lambda>0$ and $A$ be any non-symmetric $d$-by-$d$ matrix such that $Ax\cdot x \geq \lambda |x|^2$ for every $x\in\mathbb{R}^d$. Then $x\mapsto Ax$ is uniformly monotone but is not the gradient...
View Articlemonotone parabolic systems, convex variational structure and Legendre transform
The context:for my research I am currently looking at parabolic systems of the type$$\left\{\begin{array}{ll}\partial_t b(u)-\Delta u=0 \qquad & (t,x)\in \mathbb{R}^+\times\Omega\\u=0 &...
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