---
title: "SU-MATH53 Problem Session"
source: https://www.jemoka.com/posts/kbhsu_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
