Ukai, Seiji; Yang, Tong The Boltzmann equation in the space \(L^2\cap L^\infty_\beta\): global and time-periodic solutions. (English) Zbl 1096.35012 Anal. Appl., Singap. 4, No. 3, 263-310 (2006). Cited in 1 ReviewCited in 50 Documents MSC: 35B35 Stability in context of PDEs 35F20 Nonlinear first-order PDEs 76P05 Rarefied gas flows, Boltzmann equation in fluid mechanics 35B10 Periodic solutions to PDEs Keywords:Boltzmann equation; global solution; well-posedness; regularity; optimal decay rate; time-periodic solution; stability; No smallness assumptions; spectral analysis; linearized Boltzmann operator PDF BibTeX XML Cite \textit{S. Ukai} and \textit{T. Yang}, Anal. Appl., Singap. 4, No. 3, 263--310 (2006; Zbl 1096.35012) Full Text: DOI References: [1] DOI: 10.1007/978-3-642-66451-9 · doi:10.1007/978-3-642-66451-9 [2] DOI: 10.1007/978-1-4419-8524-8 · doi:10.1007/978-1-4419-8524-8 [3] DOI: 10.1007/s00222-004-0389-9 · Zbl 1162.82316 · doi:10.1007/s00222-004-0389-9 [4] DOI: 10.2307/1971423 · Zbl 0698.45010 · doi:10.2307/1971423 [5] Ellis R. S., J. Math. Pures Appl. 54 pp 1825– [6] DOI: 10.1007/s002050050168 · Zbl 0937.35131 · doi:10.1007/s002050050168 [7] DOI: 10.1007/BF00292921 · Zbl 0668.76089 · doi:10.1007/BF00292921 [8] DOI: 10.1512/iumj.2004.53.2574 · Zbl 1065.35090 · doi:10.1512/iumj.2004.53.2574 [9] DOI: 10.1007/BF03167035 · Zbl 0653.76053 · doi:10.1007/BF03167035 [10] DOI: 10.1007/s00205-003-0276-3 · Zbl 1139.82323 · doi:10.1007/s00205-003-0276-3 [11] DOI: 10.1007/BF01468142 · Zbl 0599.76088 · doi:10.1007/BF01468142 [12] Kato T., Die Grundlehren der mathematischen Wissenschaften, Band 123, in: Perturbation Theory of Linear Operators (1966) [13] DOI: 10.1016/j.physd.2003.07.011 · Zbl 1098.82618 · doi:10.1016/j.physd.2003.07.011 [14] DOI: 10.1007/s00220-003-1030-2 · Zbl 1092.82034 · doi:10.1007/s00220-003-1030-2 [15] DOI: 10.1088/0951-7715/4/2/013 · Zbl 0737.35065 · doi:10.1088/0951-7715/4/2/013 [16] DOI: 10.2977/prims/1195190965 · Zbl 0344.35003 · doi:10.2977/prims/1195190965 [17] DOI: 10.1002/cpa.3160360602 · Zbl 0515.35002 · doi:10.1002/cpa.3160360602 [18] DOI: 10.3792/pja/1195519027 · Zbl 0312.35061 · doi:10.3792/pja/1195519027 [19] Ukai S., C. R. Acad. Sci. Paris A 282 pp 317– [20] DOI: 10.1007/BF03167864 · Zbl 0597.76072 · doi:10.1007/BF03167864 [21] DOI: 10.1016/S0168-2024(08)70128-0 · doi:10.1016/S0168-2024(08)70128-0 [22] DOI: 10.3934/dcds.2006.14.579 · Zbl 1115.35108 · doi:10.3934/dcds.2006.14.579 [23] Ukai S., Lecture Notes Series No. 8, in: Mathematical Theory of Boltzmann Equation (2006) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.