Questions tagged [elliptic-operators]

For questions about elliptic differential operators.

A differential operator is said to be elliptic if its principal symbol is invertible.

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What should $\tilde{f}$ be in this elliptic equation?

I will quote the following passage from Evans' book- pg 315: Insert $v=(-1)^{|\alpha|}D^{\alpha}\tilde{v}$ into the identity $B[u,v]=(f,v)_{L^2(U)}$. After performing some integrations by parts, we get…