Pointwise stabilization of the Poisson integral for the diffusion type equations with inertia
Journal Title: Карпатські математичні публікації - Year 2016, Vol 8, Issue 2
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.
Authors and Affiliations
H. P. Malytska, I. Burtnyak
Keywords
Related Articles
- EP ID EP327105
- DOI 10.15330/cmp.8.2.279-283
- Views 67
- Downloads 0
Properties of composite positive continuous functions in Cn
The properties of positive continuous functions with Qnb and Q are investigated. We prove that some composite functions with Q belong to class Qnb. A relation between functions with these classes are established.
Parabolic by Shilov systems with variable coefficients
Because of the parabolic instability of the Shilov systems to change their coefficients, the definition parabolicity of Shilov for systems with time-dependent $t$ coefficients, unlike the definition parabolicity of Petro...
An inverse problem for a 2D parabolic equation with nonlocal overdetermination condition N. Ye. Kinash
We consider an inverse problem of identifying the time-dependent coefficient $a(t)$ in a two-dimensional parabolic equation: $$u_t=a(t)\Delta u+b_1(x,y,t)u_x+b_2(x,y,t)u_y+c(x,y,t)u+f(x,y,t),\,(x,y,t)\in Q_T,$$ with the...
The Bargmann type reduction for some Lax integrable two-dimensional generalization of the relativistic Toda lattice
The possibility of applying the method of reducing upon finite-dimensional invariant subspaces, generated by the eigenvalues of the associated spectral problem, to some two-dimensional generalization of the relativistic...
Points of narrowness and uniformly narrow operators
It is known that the sum of every two narrow operators on $L_1$ is narrow, however the same is false for $L_p$ with $1 < p < \infty$. The present paper continues numerous investigations of the kind. Firstly, we study nar...