I see the following statement in Evans' book on PDEs:
If $Lu\leq 0$ in $U$, then $$\max_{\overline{U}} u=\max_{\partial\overline{U}} u^+$$
What does $u^+$ mean? Is it the set of points where $u$ is positive?
I see the following statement in Evans' book on PDEs:
If $Lu\leq 0$ in $U$, then $$\max_{\overline{U}} u=\max_{\partial\overline{U}} u^+$$
What does $u^+$ mean? Is it the set of points where $u$ is positive?
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