Stabilization of Solutions to the Dirichlet Problem in a Cylindrical Domain for the Parabolic p-Laplacian

Аннотация

We prove a criterion for pointwise stabilization of bounded solutions to nonlinear parabolic p-Laplacian type equations in a cylindrical domain with an unbounded base. The criterion is formulated in terms of a Wiener series or integral and can be regarded as the condition of regularity of a point at infinity. Bibliography: 32 titles.