A minicourse on global existence and blowup of classical solutions to multidimensional quasilinear wave equations | Zendy

Serge Alinhac | Zendy

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A minicourse on global existence and blowup of classical solutions to multidimensional quasilinear wave equations

Author(s) -

Serge Alinhac

Publication year - 2002

Publication title -

journées équations aux dérivées partielles

Language(s) - English

Resource type - Journals

eISSN - 2118-9366

pISSN - 0752-0360

DOI - 10.5802/jedp.599

Subject(s) - mathematical proof , sketch , mathematics , wave equation , calculus (dental) , computer science , mathematical analysis , algorithm , geometry , medicine , dentistry

The aim of this mini-course is twofold: describe quickly the framework of quasilinear wave equation with small data; and give a detailed sketch of the proofs of the blowup theorems in this framework. The first chapter introduces the main tools and concepts, and presents the main results as solutions of natural conjectures. The second chapter gives a self-contained account of geometric blowup and of its applications to present problem.

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