scholarly journals Stability of solutions to Cauchy problem on linear approximation and branching equation in the root subspace

PAMM ◽  
2011 ◽  
Vol 11 (1) ◽  
pp. 695-696
Author(s):  
Vladilen Trenogin ◽  
Luiza Kim-Tyan ◽  
Boris Loginov
Keyword(s):  
Cauchy Problem ◽  
Linear Approximation ◽  
Stability Of Solutions ◽  
Root Subspace

scholarly journals Tauberian theorems and stability of solutions of the Cauchy problem

1998 ◽  
Vol 350 (5) ◽  
pp. 2087-2103 ◽  
Author(s):  
Charles J. K. Batty ◽  
Jan van Neerven ◽  
Frank Räbiger
Keyword(s):  
Cauchy Problem ◽  
Tauberian Theorems ◽  
Stability Of Solutions ◽  
The Cauchy Problem

scholarly journals On the Fourier-Transformed Boltzmann Equation with Brownian Motion

2015 ◽  
Vol 2015 ◽  
pp. 1-9
Author(s):  
Yong-Kum Cho ◽  
Eunsil Kim
Keyword(s):  
Cauchy Problem ◽  
Brownian Motion ◽  
Boltzmann Equation ◽  
Kinetic Model ◽  
Characteristic Functions ◽  
Stability Of Solutions ◽  
Collision Dynamics ◽  
The Cauchy Problem ◽  
Global Existence Theorem ◽  
Stochastic Time

We establish a global existence theorem, and uniqueness and stability of solutions of the Cauchy problem for the Fourier-transformed Fokker-Planck-Boltzmann equation with singular Maxwellian kernel, which may be viewed as a kinetic model for the stochastic time-evolution of characteristic functions governed by Brownian motion and collision dynamics.

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