Elliptic Partial Differential Equations with Almost-Real Coefficients
Download or Read eBook Elliptic Partial Differential Equations with Almost-Real Coefficients PDF written by Ariel Barton and published by American Mathematical Soc.. This book was released on 2013-04-22 with total page 120 pages. Available in PDF, EPUB and Kindle.
| Author | : Ariel Barton |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 120 |
| Release | : 2013-04-22 |
| ISBN-10 | : 9780821887400 |
| ISBN-13 | : 0821887408 |
| Rating | : 4/5 (00 Downloads) |
Book Synopsis Elliptic Partial Differential Equations with Almost-Real Coefficients by : Ariel Barton
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 $p=1$.
