16,986 reputation
245120
bio website umpa.ens-lyon.fr/~serre
location Lyon, FRANCE
age 59
visits member for 4 years, 1 month
seen 6 mins ago
My research activity is mainly in PDEs, with applications to Physics, especially in Fluid Dynamics. I have written a 2-volume book on Conservation laws, and a book about the Hyperbolic IBVP (in collaboration with S. Benzoni-Gavage). I have edited in collaboration with S. Friedlander, a 4-volume 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 edge-midpoint convex polyhedra
added 226 characters in body
1h
answered The limit of edge-midpoint convex polyhedra
2d
revised Operator norm versus Hlawka inequality
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2d
comment Operator norm versus Hlawka inequality
Thanks ! This must be well-known 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 Palais-Smale Condition
R. Palais turns out to be an active member of MO.
Oct
15
revised Are Banach space norms (up to equivalence) unique?
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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 Cotlar-Stein 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