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Apr
11
comment If a map $C:X\rightarrow U$ maps every weakly convergent sequence into strongly convergent
Yes @Ryker, you are right.
Apr
10
reviewed Close Solve for n when y=4
Apr
10
reviewed Close When are we allowed to treat differential operators as 'fractions'
Apr
10
reviewed Close Find the limit $ \lim_{n\to \infty} 2^{\frac{1}{n}}$
Apr
10
reviewed Close A nonmeasurable function such that $|f|$ is measurable, and the preimage of every point is measurable
Apr
10
reviewed Close A subset of [0,1] of measure 1 is dense in [0,1]
Apr
7
accepted Galerkin method and Schauder basis.
Apr
1
comment Galerkin method and Schauder basis.
@GiuseppeNegro, I knew Enflo's example, but in my mind, it was not reflexive. Anyway in Triebel book of functions it is proved that most of the classical functions space has a Schauder basis.
Apr
1
revised Galerkin method and Schauder basis.
added 214 characters in body
Apr
1
comment Galerkin method and Schauder basis.
You are welcome @GiuseppeNegro. I was really confused by it and I thought that it would be good to share this information. I always thought that the sequence used in the Galerkin method was a Schauder basis, but now it is clear that there is nothing to with such a basis. However, by taking a look in the literature, when one has a Schauder basis, or other basis which are more refined, then it is possible to study some convergence properties of the aproximated solutions.
Apr
1
answered Galerkin method and Schauder basis.
Mar
31
asked Galerkin method and Schauder basis.
Mar
28
comment The eigenvalue for mollified function
Is $u_k^\epsilon$ an eigenfunction? If yes, why the super index $\epsilon$?
Mar
24
asked A particular Diophantine approximation of $\pi/2$.
Mar
21
answered The existence of minimizer in Sobolev space
Mar
18
accepted Poincaré's inequality for functions with prescribed boundary
Mar
18
comment Poincaré's inequality for functions with prescribed boundary
It was just a simple idea and I'm here trying to prove it by plenty of calculations...
Mar
18
asked Poincaré's inequality for functions with prescribed boundary
Mar
15
awarded  Popular Question
Mar
14
answered The minimum of two Sobolev function