Electronic ISBN:  9780821881071 
Product Code:  CONM/428.E 
List Price:  $65.00 
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Book DetailsContemporary MathematicsVolume: 428; 2007; 173 ppMSC: 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, quasigeostrophic 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.ReadershipGraduate student and research mathematicians interested in partial differential equations.

Table of Contents

Articles

Kari Astala, Albert Clop, Joan Mateu, Joan Orobitg and Ignacio UriarteTuero  Improved Painlevé removability for bounded planar quasiregular mappings [ MR 2322371 ]

Árpád Bényi and Kasso A. Okoudjou  Timefrequency 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 HeleShaw 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  Complexvalued solutions of the BenjaminOno equation [ MR 2322378 ]

Ning Ju  The 2D quasigeostrophic 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 bidisc [ MR 2322384 ]

Lianwen Wang  Necessary conditions for optimization problems governed by differential algebraic inclusions [ MR 2336706 ]


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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, quasigeostrophic 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 UriarteTuero  Improved Painlevé removability for bounded planar quasiregular mappings [ MR 2322371 ]

Árpád Bényi and Kasso A. Okoudjou  Timefrequency 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 HeleShaw 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  Complexvalued solutions of the BenjaminOno equation [ MR 2322378 ]

Ning Ju  The 2D quasigeostrophic 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 bidisc [ MR 2322384 ]

Lianwen Wang  Necessary conditions for optimization problems governed by differential algebraic inclusions [ MR 2336706 ]