What is the dimension of soln space of the heat equation:(adsbygoogle = window.adsbygoogle || []).push({});

[tex] \frac{\partial U }{\partial t}=a^2\frac{\partial^2 U}{\partial x^2} [/tex]

U(0,t) = U(L,t) = 0

U(x,0)= f(x)

Is it infinite , if so why?

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# Dim of a pde

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