Events for 04/21/2022 from all calendars

Several Complex Variables Seminar

Time: 1:00PM - 2:00PM

Location: Zoom

Speaker: Ziming Shi, Rutgers University

Title: Existence of Solutions for DBAR-Equation in Sobolev Spaces of Negative Index

Abstract: Let Omega be a strictly pseudoconvex domain in C^n with C^{k+2} boundary, k \geq 1. We construct a DBAR-solution operator (depending on k) that gains 1/2 derivative in the Sobolev space H^{s,p}(Omega) for any 1 < p <\infty and s > 1/p -k$. If the domain is C^{\infty}, then there exists a DBAR-solution operator that gains 1/2 derivative in H^{s,p}(Omega) for all $s \in \mathbb{R}$. We obtain our solution operators through the method of homotopy formula; a new feature is the construction of "anti-derivative operators" on distributions defined on bounded Lipschitz domains. This is joint work with Liding Yao.

Committee P Meeting

Time: 4:00PM - 5:00PM

Location: BLOC 117