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Dive into the research topics where Serge Alinhac is active.

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Featured researches published by Serge Alinhac.


Partial differential equations and mathematical physics | 1996

Blowup of classical solutions of nonlinear hyperbolic equations: a survey of recent results

Serge Alinhac

Some recent results on blowup of classical solutions to hyperbolic systems or equations are presented. Emphasis is put on the description of the mechanism, which can be given for some semilinear cases or for cases in one space dimension. For higher dimensions, only asymptotic results have been obtained so far.


Archive | 1995

Blowup for Nonlinear Hyperbolic Equations

Serge Alinhac


Archive | 1991

Opérateurs pseudo-différentiels et théorème de Nash-Moser

Serge Alinhac; Patrick Gérard


Archive | 2007

Pseudo-differential Operators and the Nash-Moser Theorem

Serge Alinhac; Patrick Gérard; Stephen S. Wilson


Acta Mathematica | 1999

Blowup of small data solutions for a class of quasilinear wave equations in two space dimensions, II

Serge Alinhac


American Journal of Mathematics | 2001

The null condition for quasilinear wave equations in two space dimensions, II

Serge Alinhac


Journées équations aux dérivées partielles | 2002

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

Serge Alinhac


Communications in Mathematical Physics | 2009

Energy Multipliers for Perturbations of the Schwarzschild Metric

Serge Alinhac


American Journal of Mathematics | 1995

Explosion Geometrique pour des Systemes Quasi-Lineaires

Serge Alinhac


Archive | 2007

Implicit function theorems

Serge Alinhac; Patrick Gérard

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