| Abstract: |
| In this talk, we present both divergence and nondivergence degenerate equations on the upper half space. The coefficient matrices of the equations are the product of $x_d^2$ and bounded uniformly elliptic matrices. Under a partially weighted mean oscillation assumption on the coefficients, we obtain the wellposedness and regularity of solutions in weighted Sobolev spaces. This talk is based on a joint work with Hongjie Dong. |
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