**Contemporary Mathematics**

Volume: 428;
2007;
173 pp;
Softcover

MSC: Primary 30; 33; 35; 42; 45; 46; 47; 49; 76;

Print ISBN: 978-0-8218-4093-1

Product Code: CONM/428

List Price: $65.00

AMS Member Price: $52.00

MAA Member Price: $58.50

**Electronic ISBN: 978-0-8218-8107-1
Product Code: CONM/428.E**

List Price: $65.00

AMS Member Price: $52.00

MAA Member Price: $58.50

# Harmonic Analysis, Partial Differential Equations, and Related Topics

Share this page *Edited by *
*Estela A. Gavosto; Marianne K. Korten; Charles N. Moore; Rodolfo H. Torres*

This collection of contributed articles comprises the scientific
program of the fifth annual Prairie Analysis Seminar. All articles
represent important current advances in the areas of partial
differential equations, harmonic analysis, and Fourier analysis. A
range of interrelated topics is presented, with articles concerning
Painlevé removability, pseudodifferential operators,
\(A_p\) weights, nonlinear Schrödinger equations, singular
integrals, the wave equation, the Benjamin–Ono equation,
quasi-geostrophic equations, quasiconformal mappings, integral
inclusions, Bellman function methods, weighted gradient estimates,
Hankel operators, and dynamic optimization problems.

Most importantly, the articles illustrate the fruitful interaction between
harmonic analysis, Fourier analysis, and partial differential equations, and
illustrate the successful application of techniques and ideas from each of
these areas to the others.

#### Readership

Graduate student and research mathematicians interested in partial differential equations.

# Table of Contents

## Harmonic Analysis, Partial Differential Equations, and Related Topics

- Contents v6 free
- Preface vii8 free
- Program of the Fifth Prairie Analysis Seminar ix10 free
- Improved Painlevé removability for bounded planar quasiregular mappings 112 free
- Time-frequency estimates for pseudodifferential operators 1324
- Extrapolation of operators defined on domains and boundary respecting Ap weights 2334
- Existence, uniqueness and regularity of the free boundary in the Hele-Shaw problem with a degenerate phase 3344
- On blowup solutions of NLS with low regularity initial data 4354
- Are L2-bounded homogeneous singular integrals necessarily Lp-bounded? 5162
- A note on Chebyshev polynomials and finite difference wave equation 5768
- Complex-valued solutions of the Benjamin-Ono equation 6172
- The 2D quasi-geostrophic equations in the Sobolev space 7586
- Convex functions and quasiconformal mappings 93104
- Volterra integral inclusions: existence of solutions 105116
- Bellman function and the H1 – BMO duality 113124
- Weights and Hölder norms for solutions to a second order elliptic Dirichlet problem on nonsmooth domains 127138
- Hankel operators and V M O on the bi-disc 139150
- Necessary conditions for optimization problems governed by differential algebraic inclusions 153164