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Results tagged with uniqueness-theorems
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user 130369
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Uniqueness of solution to heat equation when initial condition is a generalized function
Let $u(t,x)$ be a solution to the heat equation $$\partial_t = \partial_{xx} \quad (t,x) \in [0,T) \times [-1,1]$$ subject to the initial/boundary conditions
$$u(0,x) = f(x), \quad x \in [-1,1], \\
u( …
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