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

1 vote
1 answer
357 views

Reference for: $C_c^\infty(0,T;H)$ dense in $L^2(0,T;H)$

If it is true, where may I find a reference/proof for: $C_c^\infty(0,T;H)$ dense in $L^2(0,T;H)$ where $H$ is a Hilbert space. Thanks
mattw's user avatar
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1 vote
0 answers
120 views

Checking initial condition of PDE is satisfied in Galerkin method

I asked this question here: https://math.stackexchange.com/questions/416885/checking-initial-condition-of-pde-is-satisfied-in-galerkin-method But I did not receive the solution so I post it here. Th …
mattw's user avatar
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