We consider an inverse parabolic problem of reconstruction of the source function, together with the traditional solution. Differently from older literature, we consider nonhomogeneous and depending on time boundary conditions. We are able to prove a general result of convergence to a stationary state, and of asymptotic expansion as $t to infty$.
D. Guidetti (2011). Asymptotic expansion of solutions to an inverse problem of parabolic type with non-homogeneous boundary conditions. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS, 141A, 777-817 [10.1017/S0308210510000788].
Asymptotic expansion of solutions to an inverse problem of parabolic type with non-homogeneous boundary conditions
GUIDETTI, DAVIDE
2011
Abstract
We consider an inverse parabolic problem of reconstruction of the source function, together with the traditional solution. Differently from older literature, we consider nonhomogeneous and depending on time boundary conditions. We are able to prove a general result of convergence to a stationary state, and of asymptotic expansion as $t to infty$.File in questo prodotto:
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