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\title{Partial Differential Equations}
\author{Homework 6}
\date{due October 24, 2008}
\maketitle

\begin{enumerate}

\item Prove a maximum principle for the following semilinear PDE, called
Burger's equation,
\begin{gather*}
  u_t + u \, u_x = u_{xx} \,, \\
  u(x,0) = g(x)
\end{gather*}
where $u=u(x,t)$ and $(x,t) \in \mathbb{R} \times [0,\infty)$.

\item Evans, p.~88 problem 14
\item Evans, p.~88 problem 15
\item Evans, p.~89 problem 17

\end{enumerate}


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