The paper's central theorem that y(T)/|y(T)| equals φ(T)/|φ(T)| for linear parabolic equations is contradicted by the heat equation on (0,π) with initial data sin x and constant forcing.
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Some questions about the regularity and the uniqueness of solutions of parabolic partial differential equations
The paper's central theorem that y(T)/|y(T)| equals φ(T)/|φ(T)| for linear parabolic equations is contradicted by the heat equation on (0,π) with initial data sin x and constant forcing.