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Systems of coupled diffusion equations with degenerate nonlinear source terms: Linear stability and traveling waves
Time discrete wave equations: Boundary observability and control
1.  Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing 100190 
2.  School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China 
3.  Basque Center for Applied Mathematics (BCAM), Gran Via 35, 48009 Bilbao, Spain 
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Mokhtari Yacine. Boundary controllability and boundary timevarying feedback stabilization of the 1D wave equation in noncylindrical domains. Evolution Equations & Control Theory, 2021 doi: 10.3934/eect.2021004 
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Ludovick Gagnon, José M. Urquiza. Uniform boundary observability with LegendreGalerkin formulations of the 1D wave equation. Evolution Equations & Control Theory, 2021, 10 (1) : 129153. doi: 10.3934/eect.2020054 
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Awais Younus, Zoubia Dastgeer, Nudrat Ishaq, Abdul Ghaffar, Kottakkaran Sooppy Nisar, Devendra Kumar. On the observability of conformable linear timeinvariant control systems. Discrete & Continuous Dynamical Systems  S, 2020 doi: 10.3934/dcdss.2020444 
[4] 
Chungang Shi, Wei Wang, Dafeng Chen. Weak time discretization for slowfast stochastic reactiondiffusion equations. Discrete & Continuous Dynamical Systems  B, 2021 doi: 10.3934/dcdsb.2021019 
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JeanPaul Chehab. Damping, stabilization, and numerical filtering for the modeling and the simulation of time dependent PDEs. Discrete & Continuous Dynamical Systems  S, 2021 doi: 10.3934/dcdss.2021002 
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Oleg Yu. Imanuvilov, Jean Pierre Puel. On global controllability of 2D Burgers equation. Discrete & Continuous Dynamical Systems  A, 2009, 23 (1&2) : 299313. doi: 10.3934/dcds.2009.23.299 
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Linglong Du, Min Yang. Pointwise long time behavior for the mixed damped nonlinear wave equation in $ \mathbb{R}^n_+ $. Networks & Heterogeneous Media, 2020 doi: 10.3934/nhm.2020033 
[8] 
Biyue Chen, Chunxiang Zhao, Chengkui Zhong. The global attractor for the wave equation with nonlocal strong damping. Discrete & Continuous Dynamical Systems  B, 2021 doi: 10.3934/dcdsb.2021015 
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Larissa Fardigola, Kateryna Khalina. Controllability problems for the heat equation on a halfaxis with a bounded control in the Neumann boundary condition. Mathematical Control & Related Fields, 2021, 11 (1) : 211236. doi: 10.3934/mcrf.2020034 
[10] 
Xinyu Mei, Yangmin Xiong, Chunyou Sun. Pullback attractor for a weakly damped wave equation with supcubic nonlinearity. Discrete & Continuous Dynamical Systems  A, 2021, 41 (2) : 569600. doi: 10.3934/dcds.2020270 
[11] 
Takiko Sasaki. Convergence of a blowup curve for a semilinear wave equation. Discrete & Continuous Dynamical Systems  S, 2021, 14 (3) : 11331143. doi: 10.3934/dcdss.2020388 
[12] 
Ahmad Z. Fino, Wenhui Chen. A global existence result for twodimensional semilinear strongly damped wave equation with mixed nonlinearity in an exterior domain. Communications on Pure & Applied Analysis, 2020, 19 (12) : 53875411. doi: 10.3934/cpaa.2020243 
[13] 
DongHo Tsai, ChiaHsing Nien. On spacetime periodic solutions of the onedimensional heat equation. Discrete & Continuous Dynamical Systems  A, 2020, 40 (6) : 39974017. doi: 10.3934/dcds.2020037 
[14] 
Taige Wang, BingYu Zhang. Forced oscillation of viscous Burgers' equation with a timeperiodic force. Discrete & Continuous Dynamical Systems  B, 2021, 26 (2) : 12051221. doi: 10.3934/dcdsb.2020160 
[15] 
Jérôme Lohéac, Chaouki N. E. Boultifat, Philippe Chevrel, Mohamed Yagoubi. Exact noise cancellation for 1dacoustic propagation systems. Mathematical Control & Related Fields, 2020 doi: 10.3934/mcrf.2020055 
[16] 
Yi Zhou, Jianli Liu. The initialboundary value problem on a strip for the equation of timelike extremal surfaces. Discrete & Continuous Dynamical Systems  A, 2009, 23 (1&2) : 381397. doi: 10.3934/dcds.2009.23.381 
[17] 
JeanClaude Saut, Yuexun Wang. Long time behavior of the fractional Kortewegde Vries equation with cubic nonlinearity. Discrete & Continuous Dynamical Systems  A, 2021, 41 (3) : 11331155. doi: 10.3934/dcds.2020312 
[18] 
Oussama Landoulsi. Construction of a solitary wave solution of the nonlinear focusing schrödinger equation outside a strictly convex obstacle in the $ L^2 $supercritical case. Discrete & Continuous Dynamical Systems  A, 2021, 41 (2) : 701746. doi: 10.3934/dcds.2020298 
[19] 
Manuel del Pino, Monica Musso, Juncheng Wei, Yifu Zhou. Type Ⅱ finite time blowup for the energy critical heat equation in $ \mathbb{R}^4 $. Discrete & Continuous Dynamical Systems  A, 2020, 40 (6) : 33273355. doi: 10.3934/dcds.2020052 
[20] 
Nguyen Thi Kim Son, Nguyen Phuong Dong, Le Hoang Son, Alireza Khastan, Hoang Viet Long. Complete controllability for a class of fractional evolution equations with uncertainty. Evolution Equations & Control Theory, 2020 doi: 10.3934/eect.2020104 
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