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Results tagged with linear-pde
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user 171439
Questions about linear partial differential equations. Often used in combination with the top-level tag ap.analysis-of-pdes.
1
vote
Find an integral kernel for the solution of a partial differential equation: an initial valu...
(Too long to be a comment.) $u(x,0)$ is not enough, you need to set some condition(s) on the $x$ coordinate. For instance, let's say that $u(0,t)=u(L,t)=0$ for some given $L$. In that case a natural a …
- 134
5
votes
2
answers
271
views
Linear hyperbolic PDE on compact two dimensional domain
Consider the equation
$$
\begin{equation}
\frac{\partial^2f}{\partial x\partial y}=f
\end{equation}
$$
on a Jordan domain (i.e. the interior of a simple, closed curve on the plane). The equation is hy …
- 134