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vpde_errata [2020/03/04 09:19] trinh |
vpde_errata [2020/03/20 19:24] trinh [Typed notes] |
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==== Typed notes ==== | ==== Typed notes ==== | ||
- | * The Corollary 8.4 on convex sets should specify that "if every **non-trivial | + | * The Corollary 8.4 on convex sets should specify that "if every straight line (**that includes a point on the interior of $\Omega$**) intersects $\partial\Omega$ at two points at most". |
+ | * There were some typos in the derivation of the wave equation in Chap. 10. It should instead look like this: | ||
+ | |||
+ | {{ :: | ||
+ | |||
+ | * Chap. 12 and the Definition 12.8 of the even extension on p.56 should read $x\in[0, L]$ instead of $x\in[0, \pi]$ | ||
+ | * Theorem 18.3 should read the initial conditions of $u(x, 0) = f(x)$ and $u_t(x, 0) = g(x)$. //(Courtesy RA)// | ||
+ | |||
+ | ==== Problem sets ==== | ||
+ | * PS5: Q1 should define the thermal conductivity as k not kappa. | ||
==== Solutions ==== | ==== Solutions ==== |