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Harmonic Analysis, Partial Differential Equations, and Related Topics

Edited by: Estela A. Gavosto University of Kansas, Lawrence, KS
Marianne K. Korten Kansas State University, Manhattan, KS
Charles N. Moore Kansas State University, Manhattan, KS
Rodolfo H. Torres University of Kansas, Lawrence, KS
Available Formats:
Electronic ISBN: 978-0-8218-8107-1
Product Code: CONM/428.E
List Price: $65.00 MAA Member Price:$58.50
AMS Member Price: $52.00 Click above image for expanded view Harmonic Analysis, Partial Differential Equations, and Related Topics Edited by: Estela A. Gavosto University of Kansas, Lawrence, KS Marianne K. Korten Kansas State University, Manhattan, KS Charles N. Moore Kansas State University, Manhattan, KS Rodolfo H. Torres University of Kansas, Lawrence, KS Available Formats:  Electronic ISBN: 978-0-8218-8107-1 Product Code: CONM/428.E  List Price:$65.00 MAA Member Price: $58.50 AMS Member Price:$52.00
• Book Details

Contemporary Mathematics
Volume: 4282007; 173 pp
MSC: Primary 30; 33; 35; 42; 45; 46; 47; 49; 76;

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.

Graduate student and research mathematicians interested in partial differential equations.

• Articles
• Kari Astala, Albert Clop, Joan Mateu, Joan Orobitg and Ignacio Uriarte-Tuero - Improved Painlevé removability for bounded planar quasiregular mappings [ MR 2322371 ]
• Árpád Bényi and Kasso A. Okoudjou - Time-frequency estimates for pseudodifferential operators [ MR 2322372 ]
• Ryan Berndt - Extrapolation of operators defined on domains and boundary respecting $A_p$ weights [ MR 2322373 ]
• Ivan A. Blank, Marianne K. Korten and Charles N. Moore - Existence, uniqueness and regularity of the free boundary in the Hele-Shaw problem with a degenerate phase [ MR 2322374 ]
• J. Colliander - On blowup solutions of NLS with low regularity initial data [ MR 2322375 ]
• Loukas Grafakos, Petr Honzík and Dmitry Ryabogin - Are $L^2$-bounded homogeneous singular integrals necessarily $L^p$-bounded? [ MR 2322376 ]
• Anatolii Grinshpan - A note on Chebyshev polynomials and finite difference wave equation [ MR 2322377 ]
• Alexandru D. Ionescu and Carlos E. Kenig - Complex-valued solutions of the Benjamin-Ono equation [ MR 2322378 ]
• Ning Ju - The 2D quasi-geostrophic equations in the Sobolev space [ MR 2322379 ]
• Leonid V. Kovalev and Diego Maldonado - Convex functions and quasiconformal mappings [ MR 2322380 ]
• Priscilla Supnet Macansantos - Volterra integral inclusions: existence of solutions [ MR 2322381 ]
• Leonid Slavin and Alexander Volberg - Bellman function and the $H^1$-$\rm BMO$ duality [ MR 2322382 ]
• Caroline Sweezy - Weights and Hölder norms for solutions to a second order elliptic Dirichlet problem on nonsmooth domains [ MR 2322383 ]
• Erin Terwilleger - Hankel operators and VMO on the bi-disc [ MR 2322384 ]
• Lianwen Wang - Necessary conditions for optimization problems governed by differential algebraic inclusions [ MR 2336706 ]

• Requests

Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Volume: 4282007; 173 pp
MSC: Primary 30; 33; 35; 42; 45; 46; 47; 49; 76;

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.

Graduate student and research mathematicians interested in partial differential equations.

• Articles
• Kari Astala, Albert Clop, Joan Mateu, Joan Orobitg and Ignacio Uriarte-Tuero - Improved Painlevé removability for bounded planar quasiregular mappings [ MR 2322371 ]
• Árpád Bényi and Kasso A. Okoudjou - Time-frequency estimates for pseudodifferential operators [ MR 2322372 ]
• Ryan Berndt - Extrapolation of operators defined on domains and boundary respecting $A_p$ weights [ MR 2322373 ]
• Ivan A. Blank, Marianne K. Korten and Charles N. Moore - Existence, uniqueness and regularity of the free boundary in the Hele-Shaw problem with a degenerate phase [ MR 2322374 ]
• J. Colliander - On blowup solutions of NLS with low regularity initial data [ MR 2322375 ]
• Loukas Grafakos, Petr Honzík and Dmitry Ryabogin - Are $L^2$-bounded homogeneous singular integrals necessarily $L^p$-bounded? [ MR 2322376 ]
• Anatolii Grinshpan - A note on Chebyshev polynomials and finite difference wave equation [ MR 2322377 ]
• Alexandru D. Ionescu and Carlos E. Kenig - Complex-valued solutions of the Benjamin-Ono equation [ MR 2322378 ]
• Ning Ju - The 2D quasi-geostrophic equations in the Sobolev space [ MR 2322379 ]
• Leonid V. Kovalev and Diego Maldonado - Convex functions and quasiconformal mappings [ MR 2322380 ]
• Priscilla Supnet Macansantos - Volterra integral inclusions: existence of solutions [ MR 2322381 ]
• Leonid Slavin and Alexander Volberg - Bellman function and the $H^1$-$\rm BMO$ duality [ MR 2322382 ]
• Caroline Sweezy - Weights and Hölder norms for solutions to a second order elliptic Dirichlet problem on nonsmooth domains [ MR 2322383 ]
• Erin Terwilleger - Hankel operators and VMO on the bi-disc [ MR 2322384 ]
• Lianwen Wang - Necessary conditions for optimization problems governed by differential algebraic inclusions [ MR 2336706 ]
Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.