All Questions
3
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Concerning some calculations for the elements in $(W^{1,2} (\Omega))^\prime$
The following question is motivated from the fact that I need to do some calculations in the weak sense, since I do not have enough regularity of the function $u$.
Let $ u \in L^2 (0,T; W^{1,2} (\...
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How to decompose the given function into several peaked functions like Gaussian or Lorentzian?
During applied mathematics, I am wondering how to decompose the data $[x,y]$ into several elliptic-shaped functions, namely
$$f[x,y]= H \cdot \left( 1 + \bigl( \frac{x-x_1}{a_1} \bigr)^2 + \bigl( \...
- 95
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Understanding a function space
I was reading a paper on Homogenization theory, where the author uses the spaces of vector valued functions. Let us consider such a space $D[\Omega; C^\infty_P(Y)]$, consisting of all the compactly ...
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