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vpde_lecture32 [2020/04/16 12:33] trinh [Section 19.1: Uniqueness for zero Dirichlet heat equation] |
vpde_lecture32 [2020/04/16 12:33] trinh [Section 19.1: Uniqueness for zero Dirichlet heat equation] |
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| E(t) \equiv 0 | E(t) \equiv 0 | ||
| $$ | $$ | ||
| - | for all time. Looking at the form of the integrand, you would conclude that | + | for all time. Looking at the form of the integrand, you would conclude that the only way this occurs is if the integrand is itself zero, or |
| $$ | $$ | ||
| w^2(x, t) = 0 | w^2(x, t) = 0 | ||