Stabilization of the Solution to a Heat Equation in the Exterior of a Sphere with Boundary Control / A. V. Gorshkov. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2016. № 5. P. 3-14 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 173-184].

The problem of boundary control stabilization of the solution to the heat equation defined in the exterior of a sphere is studied in the paper. The boundary control function stabilizing the solution to zero with the rate 1/{t^k} is constructed for any k>0.

Key words: heat equation, exterior Dirichlet problem, stabilizability, Bessel functions, Bessel–Fourier integral, spherical functions.

№ 5/2016