bio  website  umpa.enslyon.fr/~serre 

location  Lyon, FRANCE  
age  60  
visits  member for  5 years 
seen  16 hours ago  
stats  profile views  11,744 
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.
1d

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Matrix equation $XAXBXC=I$
A question about the solution of the quadratic equation. How do you define the square root ? This is an important issue, because in order that $A^*(AB^*)^{1/2}$ be a solution, it seems that we need to apply twice the identity $f(MN)M=Mf(NM)$, which requires some assumption about $f$ (here the square root) and the spectrum of teh matrices at stake. 
Aug
27 
awarded  Necromancer 
Aug
26 
awarded  Yearling 
Aug
21 
awarded  Necromancer 
Aug
21 
revised 
Examples of unexpected mathematical images
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Aug
20 
revised 
Examples of unexpected mathematical images
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Aug
20 
answered  Examples of unexpected mathematical images 
Aug
14 
awarded  Nice Question 
Aug
14 
revised 
Between Fermat's primes and the twin primes
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Aug
12 
revised 
Between Fermat's primes and the twin primes
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Aug
12 
asked  Between Fermat's primes and the twin primes 
Aug
11 
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Generalizing a problem to make it easier
I support Fedor's comment. Your proof is unnecessarily complicated. Actually, this remains true whenever the entries are odd integers. 
Aug
11 
answered  Generalizing a problem to make it easier 
Aug
7 
answered  Bounded input Bounded output stability for heat equation 
Aug
7 
revised 
The conjugacy classes of diagonalizable $2 \times 2$ matrices can be identified with their eigenvalues, what about pairs?
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6 
answered  The conjugacy classes of diagonalizable $2 \times 2$ matrices can be identified with their eigenvalues, what about pairs? 
Aug
3 
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the inverse for the trace theorem
One denomination is Babitch inverse 
Aug
3 
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the inverse for the trace theorem
@37238. When $\Omega$ is a halfspace, just make a Fourier transform in the variables tangent to the boundary. Then you build by hand the inverse. 
Jul
31 
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Not especially famous, longopen problems which anyone can understand
@AndreasThom. Not yet. 
Jul
31 
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Not especially famous, longopen problems which anyone can understand
@Andreas. Strange that this paper deals only with $k={\mathbb C}$. 