Author : Ariel Barton
Release : 2013-04-22
Genre : Mathematics
Kind : eBook
Book Rating : 408/5 ( reviews)
Book Synopsis Elliptic Partial Differential Equations with Almost-Real Coefficients by : Ariel Barton
Download or read book Elliptic Partial Differential Equations with Almost-Real Coefficients written by Ariel Barton. This book was released on 2013-04-22. Available in PDF, EPUB and Kindle. Book excerpt: In this monograph the author investigates divergence-form elliptic partial differential equations in two-dimensional Lipschitz domains whose coefficient matrices have small (but possibly nonzero) imaginary parts and depend only on one of the two coordinates. He shows that for such operators, the Dirichlet problem with boundary data in $L^q$ can be solved for $q1$ small enough, and provide an endpoint result at $p=1$.