Quasi-boundary value method for non-well posed problem for a parabolic equation with integral boundary condition

M. Denche and K. Bessila

Mathematical Problems in Engineering, 2001, vol. 7, 1-17

Abstract:

In this paper we study the problem of control by the initial conditions of the heat equation with an integral boundary condition. This problem is ill-posed. Perturbing the final condition we obtain an approximate nonlocal problem depending on a small parameter. We show that the approximate problems are well posed. We also obtain estimates of the solutions of the approximate problems and a convergence result of these solutions. Finally, we give explicit convergence rates.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:747249

DOI: 10.1155/S1024123X01001570

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