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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 
[1] 
Abdelmouhcene Sengouga. Exact boundary observability and controllability of the wave equation in an interval with two moving endpoints. Evolution Equations and Control Theory, 2020, 9 (1) : 125. doi: 10.3934/eect.2020014 
[2] 
Ali Wehbe, Marwa Koumaiha, Layla Toufaily. Boundary observability and exact controllability of strongly coupled wave equations. Discrete and Continuous Dynamical Systems  S, 2022, 15 (5) : 12691305. doi: 10.3934/dcdss.2021091 
[3] 
Patrick Martinez, Judith Vancostenoble. Exact controllability in "arbitrarily short time" of the semilinear wave equation. Discrete and Continuous Dynamical Systems, 2003, 9 (4) : 901924. doi: 10.3934/dcds.2003.9.901 
[4] 
Tianliang Yang, J. M. McDonough. Solution filtering technique for solving Burgers' equation. Conference Publications, 2003, 2003 (Special) : 951959. doi: 10.3934/proc.2003.2003.951 
[5] 
Arnaud Heibig, Mohand Moussaoui. Exact controllability of the wave equation for domains with slits and for mixed boundary conditions. Discrete and Continuous Dynamical Systems, 1996, 2 (3) : 367386. doi: 10.3934/dcds.1996.2.367 
[6] 
Alhabib Moumni, Jawad Salhi. Exact controllability for a degenerate and singular wave equation with moving boundary. Numerical Algebra, Control and Optimization, 2022 doi: 10.3934/naco.2022001 
[7] 
Baowei Feng, Carlos Alberto Raposo, Carlos Alberto Nonato, Abdelaziz Soufyane. Analysis of exponential stabilization for RaoNakra sandwich beam with timevarying weight and timevarying delay: Multiplier method versus observability. Mathematical Control and Related Fields, 2022 doi: 10.3934/mcrf.2022011 
[8] 
Imen Benabbas, Djamel Eddine Teniou. Observability of wave equation with Ventcel dynamic condition. Evolution Equations and Control Theory, 2018, 7 (4) : 545570. doi: 10.3934/eect.2018026 
[9] 
Umberto De Maio, Akamabadath K. Nandakumaran, Carmen Perugia. Exact internal controllability for the wave equation in a domain with oscillating boundary with Neumann boundary condition. Evolution Equations and Control Theory, 2015, 4 (3) : 325346. doi: 10.3934/eect.2015.4.325 
[10] 
Tatsien Li, Bopeng Rao, Zhiqiang Wang. Exact boundary controllability and observability for first order quasilinear hyperbolic systems with a kind of nonlocal boundary conditions. Discrete and Continuous Dynamical Systems, 2010, 28 (1) : 243257. doi: 10.3934/dcds.2010.28.243 
[11] 
José R. Quintero, Alex M. Montes. On the exact controllability and the stabilization for the BenneyLuke equation. Mathematical Control and Related Fields, 2020, 10 (2) : 275304. doi: 10.3934/mcrf.2019039 
[12] 
Jamel Ben Amara, Hedi Bouzidi. Exact boundary controllability for the Boussinesq equation with variable coefficients. Evolution Equations and Control Theory, 2018, 7 (3) : 403415. doi: 10.3934/eect.2018020 
[13] 
Mo Chen, Lionel Rosier. Exact controllability of the linear ZakharovKuznetsov equation. Discrete and Continuous Dynamical Systems  B, 2020, 25 (10) : 38893916. doi: 10.3934/dcdsb.2020080 
[14] 
Irena Lasiecka, Roberto Triggiani. Global exact controllability of semilinear wave equations by a double compactness/uniqueness argument. Conference Publications, 2005, 2005 (Special) : 556565. doi: 10.3934/proc.2005.2005.556 
[15] 
Peng Gao. Global exact controllability to the trajectories of the KuramotoSivashinsky equation. Evolution Equations and Control Theory, 2020, 9 (1) : 181191. doi: 10.3934/eect.2020002 
[16] 
Piermarco Cannarsa, Alessandro Duca, Cristina Urbani. Exact controllability to eigensolutions of the bilinear heat equation on compact networks. Discrete and Continuous Dynamical Systems  S, 2022, 15 (6) : 13771401. doi: 10.3934/dcdss.2022011 
[17] 
Orazio Muscato, Wolfgang Wagner. A stochastic algorithm without time discretization error for the Wigner equation. Kinetic and Related Models, 2019, 12 (1) : 5977. doi: 10.3934/krm.2019003 
[18] 
Olivier Goubet, Ezzeddine Zahrouni. On a time discretization of a weakly damped forced nonlinear Schrödinger equation. Communications on Pure and Applied Analysis, 2008, 7 (6) : 14291442. doi: 10.3934/cpaa.2008.7.1429 
[19] 
Bopeng Rao, Laila Toufayli, Ali Wehbe. Stability and controllability of a wave equation with dynamical boundary control. Mathematical Control and Related Fields, 2015, 5 (2) : 305320. doi: 10.3934/mcrf.2015.5.305 
[20] 
Mohamed Ouzahra. Controllability of the semilinear wave equation governed by a multiplicative control. Evolution Equations and Control Theory, 2019, 8 (4) : 669686. doi: 10.3934/eect.2019039 
2020 Impact Factor: 1.392
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