Asymptotic expansion of solutions to an inverse problem of parabolic type with non-homogeneous boundary conditions

作者：Guidetti Davide^*

来源：Proceedings of the Royal Society of Edinburgh: Section A Mathematics , 2011, 141: 777-817.

DOI：10.1017/S0308210510000788

We consider an inverse parabolic problem of reconstruction of the source function; together with the traditional solution. In contrast with older literature, we consider non-homogeneous and time-dependent boundary conditions. We are able to prove a general result of convergence to a stationary state, and of asymptotic expansion as t -> infinity.

• 出版日期2011