TY - JOUR
T1 - Semigroup decay of the linearized Boltzmann equation in a torus
AU - Li, Fucai
AU - Wu, Kung Chien
N1 - Funding Information:
This project was initially suggested by Professor Dr. Clément Mouhot when K.-C. Wu was a postdoctoral fellow in Cambridge. F. Li is supported by NSFC (Grant Nos. 11271184 , 10971094 ), PAPD and China Scholarship Council . K.-C. Wu is supported by the Ministry of Science and Technology, Taiwan under the grant 104-2628-M-006-003-MY4 and National Center for Theoretical Sciences . Part of this work was written during the stay at Institute of Mathematics, Academia Sinica and Department of Mathematics, Stanford University; K.C. Wu thanks Tai-Ping Liu for his kind hospitality.
Publisher Copyright:
© 2015 Elsevier Inc.
PY - 2016/2/5
Y1 - 2016/2/5
N2 - We study the semigroup decay of the linearized Boltzmann equation in general Banach spaces including Lx∞Lξ,β∞ (β ≥ 0) and LxpLξq (1≤ p ≤ ∞, 1 < q < ∞) in a torus. Our results reveal that the size of the domain affects the decay rate of the solution.
AB - We study the semigroup decay of the linearized Boltzmann equation in general Banach spaces including Lx∞Lξ,β∞ (β ≥ 0) and LxpLξq (1≤ p ≤ ∞, 1 < q < ∞) in a torus. Our results reveal that the size of the domain affects the decay rate of the solution.
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U2 - 10.1016/j.jde.2015.10.012
DO - 10.1016/j.jde.2015.10.012
M3 - Article
AN - SCOPUS:84950158979
VL - 260
SP - 2729
EP - 2749
JO - Journal of Differential Equations
JF - Journal of Differential Equations
SN - 0022-0396
IS - 3
ER -