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Global solvability of the heat equations in two unbounded domains and the interface
This paper considers the existence of a unique global-in-time strong solution to the heat equations in two unbounded domains $Ω_A$, $Ω_B$ and the interface $Γ(= \partial Ω_A \cap \partial Ω_B)$. We introduce and study some function spaces in the two unbounded domains and the interface. We apply our
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