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On the solution of a class of inverse evolution problems by a Bellman- Adomian method. (English) Zbl 0709.35100
Summary: A class of inverse initial boundary value problems with one of the two boundary conditions unknown and given solution in some interior point can be solved by a joint application of Bellman’s quadrature method to reduce the partial differential equation to a system of ordinary differential equation and of Adomian’s decomposition method to solve analytically such a system of equations.

MSC:
35R30 Inverse problems for PDEs
35K60 Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations
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