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Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.

12 votes
2 answers
5k views

Where was/is Compensated Compactness used?

This last summer, I read up on Tartar's so called Method of Compensated Compactness (or at least how it applied to scalar conservation laws). I used this theory to prove the existence of $L^{\infty}$ …
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  • 261
0 votes

Is there a use for a Hilbert space that uses a different norm than the one induced by the in...

I don't think this is exactly what you are asking, but here's one thing that comes to mind. One could take the Hilbert space $H_0^1(\Omega)$ (the closure of $C_c^\infty(\Omega)$ in the Sobolev $H^1$ t …
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  • 261