bio  website  umpa.enslyon.fr/~serre 

location  Lyon, FRANCE  
age  59  
visits  member for  4 years, 1 month 
seen  6 mins ago  
stats  profile views  10,341 
My research activity is mainly in PDEs, with applications to Physics, especially in Fluid Dynamics. I have written a 2volume book on Conservation laws, and a book about the Hyperbolic IBVP (in collaboration with S. BenzoniGavage). I have edited in collaboration with S. Friedlander, a 4volume Handbook of Mathematical Fluid Dynamics.
I have a continuous interest in Matrix Analysis. I have written a Graduate Text about Matrices. The second edition has been released in November 2010.
3m

revised 
The limit of edgemidpoint convex polyhedra
added 226 characters in body 
1h

answered  The limit of edgemidpoint convex polyhedra 
2d

revised 
Operator norm versus Hlawka inequality
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2d

comment 
Operator norm versus Hlawka inequality
Thanks ! This must be wellknown from specialist, I presume. 
2d

accepted  Operator norm versus Hlawka inequality 
2d

asked  Operator norm versus Hlawka inequality 
2d

revised 
Schrödinger operators on a sphere
added 444 characters in body 
2d

answered  Schrödinger operators on a sphere 
Oct 17 
reviewed  Close A fixed point problem about the iterated mappings 
Oct 16 
comment 
Sobolev spaces of maps between manifolds and the PalaisSmale Condition
R. Palais turns out to be an active member of MO. 
Oct 15 
revised 
Are Banach space norms (up to equivalence) unique?
added 6 characters in body 
Oct 14 
reviewed  Close Sum of n independent F distribution random variables 
Oct 14 
reviewed  Close How to evaluate the following integral related to exponential distribution 
Oct 14 
revised 
Generalized Hlawka inequality
A definitive answer 
Oct 14 
revised 
Generalized Hlawka inequality
excluding a possible strategy 
Oct 13 
revised 
Hlawka inequality for Lorentz quadratic form
Edit : I found the solution. 
Oct 13 
comment 
$L^2$ boundedness of the Hilbert transform via CotlarStein Lemma
The Hilbert transform is the operator $u\mapsto{\cal F}^{1}\sigma\cal F$, where $\cal F$ is the Fourier transform and $\sigma$ the multiplication by ${\rm sign}\,\xi$. It is bounded in $L^2$ and even an isometry, as a composition of such operators. 
Oct 13 
comment 
Generalized Hlawka inequality
@Guillaume. This actually gives a proof of the classical Hlawka inequality ($n=3$). Notice that if this works, my second question has a negative answer. 
Oct 13 
comment 
Generalized Hlawka inequality
@Emil. Of course. 
Oct 13 
revised 
Generalized Hlawka inequality
added 18 characters in body 