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

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Solution to $u_t = A(t)u + f(t)$ on bounded domain

I am dealing with the problem \begin{align}u_t &= \nabla \cdot (a(x,t) \nabla u) + f(x,t) &\text{ on } \Omega \times (0,T)\\ \partial_{\nu} u &= 0 &\text{ on } \partial \Omega \times (0,T)\\ u(x, …
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