SU-MATH53 Problem Session
L-Periodic Functions So, we have:
\begin{equation} f(x+L) = f(x) \end{equation}
The integral is equivalent for any:
\begin{equation} \int_{a}^{a+L} f(x) \end{equation}
for any a.
Heat Equation Recipe are we on a finite interval? then, decompose into product-type solution A(t)B(x) and solve. are we not? Fourier transform on the space variable and solve. What if \lambda \in \mathbb{C} \backslash \mathbb{R} Shush.
Why can we guess A(t)B(x) Because we were able to find solutions. Believe that the solution set spans.
Fourier Transform on Three-Variable Expressions We have better Fourier transforms on n-space rather than on a line. Use those.
Existence and Uniqueness + Superposition