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Introduction

Global solutions to wave equations — existence theorems

<Emphasis Type="Italic">L</Emphasis> <Superscript> <Emphasis Type="Italic">p</Emphasis> </Superscript>-<Emphasis Type="Italic">L</Emphasis> <Superscript> <Emphasis Type="Italic">q</Emphasis> </Superscript>-decay estimates for the linear wave equation

Linear symmetric hyperbolic systems

Some inequalities

Local existence for quasilinear symmetric hyperbolic systems

High energy estimates

Weighted a priori estimates for small data

Global solutions to wave equations — proofs

Other methods

Development of singularities

More evolution equations

Further aspects and questions