首页|GLOBAL SOLUTIONS IN THE CRITICAL SOBOLEV SPACE FOR THE LANDAU EQUATION
GLOBAL SOLUTIONS IN THE CRITICAL SOBOLEV SPACE FOR THE LANDAU EQUATION
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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 HdxL2v(d＞3/2),which extends the results of[11]in the torus domain to the whole space R3x.Here we utilize the pseudo-differential calculus to derive our desired result.
Landau equationnonlinear energy methodglobal existencepseudo-differential calculus
王浩
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Department of Mathematical Sciences,Tsinghua University,Beijing 100084,China
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