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 $t to infty$.

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 $t to infty$.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11585/104792
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