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

Serge Alinhac

Type: Article

Publication Date: 2002-01-01

Citations: 47

DOI: https://doi.org/10.5802/jedp.599

Abstract

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.

Locations

Journées Équations aux dérivées partielles - View - PDF
French digital mathematics library (Numdam) - View - PDF

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