Abstract
We study a semilinear parabolic partial differential equation of second order in a bounded domain ? ? RN , with nonstandard boundary conditions (BCs) on a part ?non of the boundary ??. Here, neither the solution nor the flux are prescribed pointwise. Instead, the total flux through ?non is given and the solution along ?non has to follow a prescribed shape function, apart from an additive (unknown) space-constant ?(t).Using the semidiscretization in time (so called Rothe's method) we provide videa numerical scheme for the recovery of the unknown boundary data.
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