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 Yearling
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Dec
7
answered Some basic technical questions on the Leibniz integral rule (differentiation under the integral),
Dec
6
comment Inequality regarding the logarithm
Thank you very much
Dec
6
accepted Inequality regarding the logarithm
Dec
5
comment Inequality regarding the logarithm
Ooops I wrote the inequality wrong... Please, take a look at it now. I found the inequality in this paper (equation (10)) Wow, this is surprising :-). I found the equation in this paper (equation 10): uni-graz.at/~fellnerk/preprints/DFIFIP.pdf
Dec
5
revised Inequality regarding the logarithm
edited body
Dec
4
asked Inequality regarding the logarithm
Nov
19
comment FreeFem++ code approximating the Laplace equation
As is a math problem and a math-related code, I think that this may be the appropriate place. In any case, do you have any suggestion on the appropriate place?
Nov
19
asked FreeFem++ code approximating the Laplace equation
Nov
17
comment Identification of a weak limit using pointwise a.e. convergence
If I understood correctly, $b_n(t)$ are not uniformly bounded in $L^\infty$. Are they uniformly bounded in $L^p$ for $1\leq p<\infty$?
Nov
1
answered Change of Variables of Reaction-Diffusion Equation into Heat Equation
Aug
24
answered What is the essential difference between ordinary differential equations and partial differential equations?
Aug
15
revised Shock formation in an inviscid Burger's like equation
added 1118 characters in body
Aug
15
comment Shock formation in an inviscid Burger's like equation
Ok, let me add another answer because I do not have enough space in this comment.
Aug
14
answered Shock formation in an inviscid Burger's like equation
May
15
awarded  Yearling
May
1
answered logarithmic sobolev inequalities
Apr
26
comment Problem on Majda's Vorticity and Incompressible Flow
You can read all this in the book by Brezis "functional analysis".
Apr
26
comment Problem on Majda's Vorticity and Incompressible Flow
The dual of $H^m$ is $H^{-m}$, and the dual of $H^{m'}$ is $H^{-m'}$, thus they are not the same. Then the brakets are always different duality pairings. However, all them can be understood as merely the integral I wrote previously. Finally notice that $$ H^{-s}\subset H^{-t}\subset L^2\subset H^t\subset H^s, $$ for $0<t<s$. Let me know if you need more help with this paragraph.
Apr
25
comment Problem on Majda's Vorticity and Incompressible Flow
Well, I don't have access to this book right now. However, I think I rememeber this part. Is the part where they show the local existence, right? I think that $$ [\phi,v]=<\phi,v>=\int \phi v dx. $$ The dual of $H^m$ is $H^{-m}$ (use Fourier to convince yourself).
Apr
25
answered About fractional Sobolev space