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The time-dependent heat conduction problem (linear, parabolic partial differential in a scalar unknown) has a unique solution for temperature even for the case where only

The time-dependent heat conduction problem (linear, parabolic partial differential in a scalar unknown) has a unique solution for temperature even for the case where only flux (Neumann) boundary conditions are applied. When compared with the steady state heat conduction problem, what is it about the time-dependent problem that guarantees a unique solution

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