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Published in:
2012 | OriginalPaper | Chapter
The Concentration-Compactness Rigidity Method for Critical Dispersive and Wave Equations
Author : Carlos E. Kenig
Published in: Nonlinear Partial Differential Equations
Publisher: Springer Basel
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In these lectures I will describe a program (which I will call the concentrationcompactness/rigidity method) that Frank Merle and I have been developing to study critical evolution problems. The issues studied center around global wellposedness and scattering. The method applies to nonlinear dispersive and wave equations in both defocusing and focusing cases.