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 Painleve removability, pseudodifferential operators, $A p$ weights, nonlinear Schrodinger 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.In this contribution we discuss a weak formulation of the Hele-Shaw problem which allows for a mushy region, and provides the classical solution if the free boundary and the solution are regular enough. We show that the solution to thisanbsp;...
|Title||:||Harmonic Analysis, Partial Differential Equations and Related Topics|
|Author||:||Estela A. Gavosto|
|Publisher||:||American Mathematical Soc. - 2007|