All Questions
Tagged with dg.differential-geometry elliptic-pde
152 questions
3
votes
2
answers
845
views
How to solve the $C^\alpha$ Poisson equation on closed Riemannian manifolds?
To be specific, suppose $M$ is a closed oriented manifold, $g$ is a Riemannian metric of $M$.
Let $\Delta_g$ be the Laplace-Beltrami operator w.r.t. $g$.
Prove: Suppose $f\in C^\alpha(M)$ satisfies ...
- 1,083
8
votes
2
answers
2k
views
Estimates on the Green function of an elliptic second order differential operator.
Let $D$ be a linear differential elliptic operator of second order
with infinitely smooth coefficients acting on real valued functions
on a compact manifold $M$. Let us assume that $D$ has no free ...
- 21.8k