Delta function question, hope for simple solutions, thanks

by Ziyi Gao   Last Updated September 12, 2019 04:20 AM

Let X be as above and $Z = R^2$. Define the gradient of the delta function: $\iint_{R^2}\nabla\delta(x)u(x)dx = -\nabla\ u(0)$. Show that $\nabla\delta : X \to Z $ is a linear operator. Is $\nabla\delta$ onto?

Tags : pde


Related Questions