scholarly journals The Cauchy problem for the inhomogeneous non-cutoff Kac equation in critical Besov space

2020 ◽  
Vol 269 (2) ◽  
pp. 1117-1171
Author(s):  
Hong-Mei Cao ◽  
Hao-Guang Li ◽  
Chao-Jiang Xu ◽  
Jiang Xu
Keyword(s):  
Cauchy Problem ◽  
Besov Space ◽  
Critical Besov Space ◽  
The Cauchy Problem ◽  
Kac Equation

scholarly journals The Cauchy problem for the generalized Camassa–Holm equation in Besov space

2014 ◽  
Vol 256 (8) ◽  
pp. 2876-2901 ◽  
Author(s):  
Wei Yan ◽  
Yongsheng Li ◽  
Yimin Zhang
Keyword(s):  
Cauchy Problem ◽  
Besov Space ◽  
Holm Equation ◽  
The Cauchy Problem

scholarly journals Well-posedness of Cauchy problem for Landau equation in critical Besov space

2019 ◽  
Vol 12 (4) ◽  
pp. 829-884
Author(s):  
Hongmei Cao ◽  
◽  
Hao-Guang Li ◽  
Chao-Jiang Xu ◽  
Jiang Xu ◽  
...  
Keyword(s):  
Cauchy Problem ◽  
Besov Space ◽  
Landau Equation ◽  
Well Posedness ◽  
Critical Besov Space

scholarly journals A Regularity Criterion for the Magneto-Micropolar Fluid Equations inB˙∞,∞−1

2013 ◽  
Vol 2013 ◽  
pp. 1-6
Author(s):  
Zhihao Tang ◽  
Gang Wang ◽  
Haiwa Guan
Keyword(s):  
Cauchy Problem ◽  
Besov Space ◽  
Micropolar Fluid ◽  
Three Dimensional ◽  
Regularity Criterion ◽  
Fluid Equations ◽  
The Cauchy Problem ◽  
Homogeneous Besov Space ◽  
Micropolar Fluid Equations

The paper is dedicated to study of the Cauchy problem for the magneto-micropolar fluid equations in three-dimensional spaces. A new logarithmically improved regularity criterion for the magneto-micropolar fluid equations is established in terms of the pressure in the homogeneous Besov spaceB˙∞,∞−1.

Cauchy Problem for Equations with Fractional Differentiation Bessel Operator in the Space of Temperate Distributions

2003 ◽  
Vol 8 (1) ◽  
pp. 61-75
Author(s):  
V. Litovchenko
Keyword(s):  
Functional Analysis ◽  
Cauchy Problem ◽  
Fundamental Solution ◽  
Initial Function ◽  
Well Posedness ◽  
Fractional Differentiation ◽  
Basic Tool ◽  
Conjugate Space ◽  
Analysis Technique ◽  
The Cauchy Problem

The well-posedness of the Cauchy problem, mentioned in title, is studied. The main result means that the solution of this problem is usual C∞ - function on the space argument, if the initial function is a real functional on the conjugate space to the space, containing the fundamental solution of the corresponding problem. The basic tool for the proof is the functional analysis technique.

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