Pointwise stabilization of the Poisson integral for the diffusion type equations with inertia

H. P. Malytska, I. V. Burtnyak

Abstract


In this paper we consider the pointwise stabilization of the Poisson integral for the diffusion type equations with inertia in the case of finite number of parabolic degeneracy groups. We establish necessary and sufficient conditions of this stabilization for a class of bounded measurable initial functions.


Keywords


Poisson integral, Kolmogorov equation, diffusion type equation with inertia, stabilization, degenerate parabolic equation, surface level, average on border

Full Text: Article References
3 :: 8

Refbacks

  • There are currently no refbacks.


Creative Commons License
The journal is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported.