Inverse Boundary Conditions Interface Problems for the Heat Equation with Cylindrical Symmetry
Miglena N. Koleva,
Lubin G. Vulkov
Abstract:In this paper, we study inverse interface problems with unknown boundary conditions, using point observations for parabolic equations with cylindrical symmetry. In the one-dimensional, two-layer interface problem, the left interval 0<r<l1, i.e., the zero degeneracy, causes serious solution difficulty. For this, we investigate the well-posedness of the direct (forward) problem. Next, we formulate and solve five inverse boundary condition problems for the interface heat equation with cylindrical symmetry f… Show more
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