AN L¹_k L^p_kAPPROACH FOR THE NON-CUTOFF BOLTZMANN EQUATION IN R³

Renjun Duan,Shota Sakamoto,Yoshihiro Ueda

SIAM JOURNAL ON MATHEMATICAL ANALYSIS（2024）

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摘要

In the paper, we develop an L-k (1)Omega L-k(p) approach to construct global solutions to the Cauchy problem on the non-cutoff Boltzmann equation near equilibrium in R-3. In particular, only smallness of parallel to F(x)f(0)parallel to L-1 boolean AND L-p(R-k(3);L-2(R-v(3))) with 3/2

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关键词

Boltzmann equation,angular non-cutoff,low regularity solutions,global existence,large time behavior

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AN L1k Lpk APPROACH FOR THE NON-CUTOFF BOLTZMANN EQUATION IN R3

AN L¹_k L^p_kAPPROACH FOR THE NON-CUTOFF BOLTZMANN EQUATION IN R³