Andrew Raich

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math.CV2024

Global regularity for the $\partial ˉ$ -Neumann problem on pseudoconvex manifolds

Tran Vu Khanh, Andrew Raich

We establish general sufficient conditions for exact (and global) regularity in the $\partial ˉ$ -Neumann problem on $(p, q)$ -forms, $0 \leq p \leq n$ and $1 \leq q \leq n$ , on a ps…

math.CV2021

The Fundamental Solution to $□_{b}$ on Quadric Manifolds -- Part 4. Nonzero Eigenvalues

Albert Boggess, Andrew Raich

This paper is the fourth of a multi-part series in which we study the geometric and analytic properties of the Kohn Laplacian and its inverse on general quadric submanifolds of $\m…

Global regularity for the ∂ˉ-Neumann problem on pseudoconvex manifolds

The Fundamental Solution to □b​ on Quadric Manifolds -- Part 4. Nonzero Eigenvalues

Global regularity for the $\partial ˉ$ -Neumann problem on pseudoconvex manifolds

The Fundamental Solution to $□_{b}$ on Quadric Manifolds -- Part 4. Nonzero Eigenvalues