# Optimal estimates for derivatives of analytic functions and solutions to Laplace, Lam\'e and Stokes equations

Mon, 19/05/2014 - 14:00

Speaker:

Prof. Gershon Kresin, Ariel University

Seminar:

Abstract:

Two types of optimal estimates for derivatives of analytic functions

with bounded real part are considered. The first of them is a pointwise

inequality for derivatives of analytic functions in the complement

of a convex closed domain in ${\mathbb C}$. The second type of inequalities

is a limit relation for derivatives of analytic functions in an arbitrary proper

subdomain of ${\mathbb C}$. Optimal estimates for derivatives of a vector

field with bounded harmonic components as well as optimal estimates for the

divergence of an elastic displacement field and pressure in a fluid in

subdomains of ${\mathbb R}^n$ are discussed.

- Last modified: 12/05/2014