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Transport equation: $$ \begin{cases} \frac{d}{dt}u +cu = 0\qquad \mbox{ in } \mathbb{R}^n\times (0,\infty) \\ u(x,0) = 0 \qquad \mbox{ on }\mathbb{R}^n\times \{t=0\} \end{cases} $$

b-const

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