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 Curious
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Apr
8
answered Well/Ill posedness on Generalized heat equation
Apr
2
comment Separation of variables for PDE: dividing by zero?
As you said, separation of variables is a method to find the explicit form of the solution. The justification is "it works". The uniqueness should be obtained later (by a standard contradiction argument, for instance). Furthermore, the possibility of losing some solution appears at the same time we make the ansatz of sepration of variables $$ u(x,y)=X(x)Y(y). $$
Mar
29
accepted FreeFem++ code approximating the Laplace equation
Mar
3
awarded  Curious
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