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1.  Institute of Applied Mathematics and Mechanics, 83114 Donetsk, Ukraine 
[1] 
Xiaoyun Cai, Liangwen Liao, Yongzhong Sun. Global strong solution to the initialboundary value problem of a 2D KazhikhovSmagulov type model. Discrete and Continuous Dynamical Systems  S, 2014, 7 (5) : 917923. doi: 10.3934/dcdss.2014.7.917 
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Sergey Degtyarev. Classical solvability of the multidimensional free boundary problem for the thin film equation with quadratic mobility in the case of partial wetting. Discrete and Continuous Dynamical Systems, 2017, 37 (7) : 36253699. doi: 10.3934/dcds.2017156 
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Peng Jiang. Unique global solution of an initialboundary value problem to a diffusion approximation model in radiation hydrodynamics. Discrete and Continuous Dynamical Systems, 2015, 35 (7) : 30153037. doi: 10.3934/dcds.2015.35.3015 
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Yi Zhou, Jianli Liu. The initialboundary value problem on a strip for the equation of timelike extremal surfaces. Discrete and Continuous Dynamical Systems, 2009, 23 (1&2) : 381397. doi: 10.3934/dcds.2009.23.381 
[5] 
Martn P. Árciga Alejandre, Elena I. Kaikina. Mixed initialboundary value problem for OttSudanOstrovskiy equation. Discrete and Continuous Dynamical Systems, 2012, 32 (2) : 381409. doi: 10.3934/dcds.2012.32.381 
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Türker Özsarı, Nermin Yolcu. The initialboundary value problem for the biharmonic Schrödinger equation on the halfline. Communications on Pure and Applied Analysis, 2019, 18 (6) : 32853316. doi: 10.3934/cpaa.2019148 
[7] 
Boling Guo, Jun Wu. Wellposedness of the initialboundary value problem for the fourthorder nonlinear Schrödinger equation. Discrete and Continuous Dynamical Systems  B, 2022, 27 (7) : 37493778. doi: 10.3934/dcdsb.2021205 
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Lihua Min, Xiaoping Yang. Finite speed of propagation and algebraic time decay of solutions to a generalized thin film equation. Communications on Pure and Applied Analysis, 2014, 13 (2) : 543566. doi: 10.3934/cpaa.2014.13.543 
[9] 
Marcone C. Pereira, Ricardo P. Silva. Error estimates for a Neumann problem in highly oscillating thin domains. Discrete and Continuous Dynamical Systems, 2013, 33 (2) : 803817. doi: 10.3934/dcds.2013.33.803 
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Shaoyong Lai, Yong Hong Wu, Xu Yang. The global solution of an initial boundary value problem for the damped Boussinesq equation. Communications on Pure and Applied Analysis, 2004, 3 (2) : 319328. doi: 10.3934/cpaa.2004.3.319 
[11] 
Gilles Carbou, Bernard Hanouzet. Relaxation approximation of the Kerr model for the impedance initialboundary value problem. Conference Publications, 2007, 2007 (Special) : 212220. doi: 10.3934/proc.2007.2007.212 
[12] 
Xianpeng Hu, Dehua Wang. The initialboundary value problem for the compressible viscoelastic flows. Discrete and Continuous Dynamical Systems, 2015, 35 (3) : 917934. doi: 10.3934/dcds.2015.35.917 
[13] 
Anya Désilles, Hélène Frankowska. Explicit construction of solutions to the Burgers equation with discontinuous initialboundary conditions. Networks and Heterogeneous Media, 2013, 8 (3) : 727744. doi: 10.3934/nhm.2013.8.727 
[14] 
Minhajul, T. Raja Sekhar, G. P. Raja Sekhar. Stability of solutions to the Riemann problem for a thin film model of a perfectly soluble antisurfactant solution. Communications on Pure and Applied Analysis, 2019, 18 (6) : 33673386. doi: 10.3934/cpaa.2019152 
[15] 
Xu Liu, Jun Zhou. Initialboundary value problem for a fourthorder plate equation with HardyHénon potential and polynomial nonlinearity. Electronic Research Archive, 2020, 28 (2) : 599625. doi: 10.3934/era.2020032 
[16] 
Linglong Du, Caixuan Ren. Pointwise wave behavior of the initialboundary value problem for the nonlinear damped wave equation in $\mathbb{R}_{+}^{n} $. Discrete and Continuous Dynamical Systems  B, 2019, 24 (7) : 32653280. doi: 10.3934/dcdsb.2018319 
[17] 
Marina Chugunova, Roman M. Taranets. New dissipated energy for the unstable thin film equation. Communications on Pure and Applied Analysis, 2011, 10 (2) : 613624. doi: 10.3934/cpaa.2011.10.613 
[18] 
Eric A. Carlen, Süleyman Ulusoy. Localization, smoothness, and convergence to equilibrium for a thin film equation. Discrete and Continuous Dynamical Systems, 2014, 34 (11) : 45374553. doi: 10.3934/dcds.2014.34.4537 
[19] 
Richard S. Laugesen. New dissipated energies for the thin fluid film equation. Communications on Pure and Applied Analysis, 2005, 4 (3) : 613634. doi: 10.3934/cpaa.2005.4.613 
[20] 
Changchun Liu, Jingxue Yin, Juan Zhou. Existence of weak solutions for a generalized thin film equation. Communications on Pure and Applied Analysis, 2007, 6 (2) : 465480. doi: 10.3934/cpaa.2007.6.465 
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