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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6410 • ODE

Fall 1996 • Question 21

Question

Math 6410 • ODE Fall 1996 • Question 21

Apply the above result to the initial boundary value problem \[ \begin {aligned} u_t-u_{xx}&=0,\quad t>0,\quad x\in (0,\pi )\\ u(0,x)&=g(x),\quad x\in (0,\pi )\\ u(t,0)&=0=u(t,\pi ),\quad t\ge 0. \end {aligned} \]

Raw LaTeX

Apply the above result to the initial boundary value problem
\[
\begin{aligned}
u_t-u_{xx}&=0,\quad t>0,\quad x\in(0,\pi)\\
u(0,x)&=g(x),\quad x\in(0,\pi)\\
u(t,0)&=0=u(t,\pi),\quad t\ge0.
\end{aligned}
\]

Topic Tags

Boundary Value Problems Boundary Value Problems and Sturm-Liouville Theory