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Identification of the class of initial data for the insensitizing control of the heat equation
Exterior Problem of Boltzmann Equation with Temperature Difference
1.  1726 Iwasaki, Hodogaya, Yokohama 2400015 
2.  Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong 
3.  School of Mathematics and Statistics, Wuhan University, Wuhan 430072 
[1] 
Tong Yang, Seiji Ukai, Huijiang Zhao. Stationary solutions to the exterior problems for the Boltzmann equation, I. Existence. Discrete and Continuous Dynamical Systems, 2009, 23 (1&2) : 495520. doi: 10.3934/dcds.2009.23.495 
[2] 
Leif Arkeryd, Raffaele Esposito, Rossana Marra, Anne Nouri. Exponential stability of the solutions to the Boltzmann equation for the Benard problem. Kinetic and Related Models, 2012, 5 (4) : 673695. doi: 10.3934/krm.2012.5.673 
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Miguel Escobedo, MinhBinh Tran. Convergence to equilibrium of a linearized quantum Boltzmann equation for bosons at very low temperature. Kinetic and Related Models, 2015, 8 (3) : 493531. doi: 10.3934/krm.2015.8.493 
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Shuyu Gong, Ziwei Zhou, Jiguang Bao. Existence and uniqueness of viscosity solutions to the exterior problem of a parabolic MongeAmpère equation. Communications on Pure and Applied Analysis, 2020, 19 (10) : 49214936. doi: 10.3934/cpaa.2020218 
[5] 
Peng Chen, Xiaochun Liu. Positive solutions for Choquard equation in exterior domains. Communications on Pure and Applied Analysis, 2021, 20 (6) : 22372256. doi: 10.3934/cpaa.2021065 
[6] 
Anatoli F. Ivanov, Sergei Trofimchuk. Periodic solutions and their stability of a differentialdifference equation. Conference Publications, 2009, 2009 (Special) : 385393. doi: 10.3934/proc.2009.2009.385 
[7] 
Kazuhiro Ishige, Michinori Ishiwata. Global solutions for a semilinear heat equation in the exterior domain of a compact set. Discrete and Continuous Dynamical Systems, 2012, 32 (3) : 847865. doi: 10.3934/dcds.2012.32.847 
[8] 
Moez Daoulatli. Energy decay rates for solutions of the wave equation with linear damping in exterior domain. Evolution Equations and Control Theory, 2016, 5 (1) : 3759. doi: 10.3934/eect.2016.5.37 
[9] 
César E. Torres Ledesma. Existence of positive solutions for a class of fractional Choquard equation in exterior domain. Discrete and Continuous Dynamical Systems, 2022, 42 (7) : 33013328. doi: 10.3934/dcds.2022016 
[10] 
Seiji Ukai. Timeperiodic solutions of the Boltzmann equation. Discrete and Continuous Dynamical Systems, 2006, 14 (3) : 579596. doi: 10.3934/dcds.2006.14.579 
[11] 
Radjesvarane Alexandre, Yoshinori Morimoto, Seiji Ukai, ChaoJiang Xu, Tong Yang. Bounded solutions of the Boltzmann equation in the whole space. Kinetic and Related Models, 2011, 4 (1) : 1740. doi: 10.3934/krm.2011.4.17 
[12] 
Marco Cannone, Grzegorz Karch. On selfsimilar solutions to the homogeneous Boltzmann equation. Kinetic and Related Models, 2013, 6 (4) : 801808. doi: 10.3934/krm.2013.6.801 
[13] 
Juhi Jang, Ning Jiang. Acoustic limit of the Boltzmann equation: Classical solutions. Discrete and Continuous Dynamical Systems, 2009, 25 (3) : 869882. doi: 10.3934/dcds.2009.25.869 
[14] 
Thomas Carty. Grossly determined solutions for a Boltzmannlike equation. Kinetic and Related Models, 2017, 10 (4) : 957976. doi: 10.3934/krm.2017038 
[15] 
Hongjun Yu. Global classical solutions to the Boltzmann equation with external force. Communications on Pure and Applied Analysis, 2009, 8 (5) : 16471668. doi: 10.3934/cpaa.2009.8.1647 
[16] 
Hao Tang, Zhengrong Liu. On the Cauchy problem for the Boltzmann equation in CheminLerner type spaces. Discrete and Continuous Dynamical Systems, 2016, 36 (4) : 22292256. doi: 10.3934/dcds.2016.36.2229 
[17] 
ByungHoon Hwang, SeokBae Yun. Stationary solutions to the boundary value problem for the relativistic BGK model in a slab. Kinetic and Related Models, 2019, 12 (4) : 749764. doi: 10.3934/krm.2019029 
[18] 
Zejia Wang, Suzhen Xu, Huijuan Song. Stationary solutions of a free boundary problem modeling growth of angiogenesis tumor with inhibitor. Discrete and Continuous Dynamical Systems  B, 2018, 23 (6) : 25932605. doi: 10.3934/dcdsb.2018129 
[19] 
Houda Hani, Moez Khenissi. Asymptotic behaviors of solutions for finite difference analogue of the ChipotWeissler equation. Discrete and Continuous Dynamical Systems  S, 2016, 9 (5) : 14211445. doi: 10.3934/dcdss.2016057 
[20] 
Robert Stegliński. On homoclinic solutions for a second order difference equation with pLaplacian. Discrete and Continuous Dynamical Systems  B, 2018, 23 (1) : 487492. doi: 10.3934/dcdsb.2018033 
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