GLOBAL SOLUTIONS IN THE CRITICAL SOBOLEV SPACE FOR THE LANDAU EQUATION  

作　　者：Hao WANG 王浩(Department of Mathematical Sciences,Tsinghua University,Beijing 100084,China)

机构地区：[1]Department of Mathematical Sciences,Tsinghua University,Beijing 100084,China

出　　处：《Acta Mathematica Scientia》2024年第4期1347-1372,共26页数学物理学报（B辑英文版）

基　　金：supported by the NSFC(12301284)。

摘　　要：The Landau equation is studied for hard potential with-2≤γ≤1.Under a perturbation setting,a unique global solution of the Cauchy problem to the Landau equation is established in a critical Sobolev space H_(x)^(d)L_(v)^(2)(d>3/2),which extends the results of[11]in the torus domain to the whole space R_(x)^(3).Here we utilize the pseudo-differential calculus to derive our desired result.

关 键 词：Landau equation nonlinear energy method global existence pseudo-differential calculus 

分 类 号：O175[理学—数学]