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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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Marita Holtmannspötter, Arnd Rösch, Boris Vexler. A priori error estimates for the spacetime finite element discretization of an optimal control problem governed by a coupled linear PDEODE system. Mathematical Control & Related Fields, 2021 doi: 10.3934/mcrf.2021014 
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Kin Ming Hui, Soojung Kim. Asymptotic large time behavior of singular solutions of the fast diffusion equation. Discrete & Continuous Dynamical Systems  A, 2017, 37 (11) : 59435977. doi: 10.3934/dcds.2017258 
[4] 
Michael Schmidt, Emmanuel Trélat. Controllability of couette flows. Communications on Pure & Applied Analysis, 2006, 5 (1) : 201211. doi: 10.3934/cpaa.2006.5.201 
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Jian Yang, Bendong Lou. Traveling wave solutions of competitive models with free boundaries. Discrete & Continuous Dynamical Systems  B, 2014, 19 (3) : 817826. doi: 10.3934/dcdsb.2014.19.817 
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Dugan Nina, Ademir Fernando Pazoto, Lionel Rosier. Controllability of a 1D tank containing a fluid modeled by a Boussinesq system. Evolution Equations & Control Theory, 2013, 2 (2) : 379402. doi: 10.3934/eect.2013.2.379 
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Valery Y. Glizer. Novel Conditions of Euclidean space controllability for singularly perturbed systems with input delay. Numerical Algebra, Control & Optimization, 2021, 11 (2) : 307320. doi: 10.3934/naco.2020027 
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Habib Ammari, Josselin Garnier, Vincent Jugnon. Detection, reconstruction, and characterization algorithms from noisy data in multistatic wave imaging. Discrete & Continuous Dynamical Systems  S, 2015, 8 (3) : 389417. doi: 10.3934/dcdss.2015.8.389 
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V. Vijayakumar, R. Udhayakumar, K. Kavitha. On the approximate controllability of neutral integrodifferential inclusions of Sobolevtype with infinite delay. Evolution Equations & Control Theory, 2021, 10 (2) : 271296. doi: 10.3934/eect.2020066 
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ZhiMin Chen, Philip A. Wilson. Stability of oscillatory gravity wave trains with energy dissipation and BenjaminFeir instability. Discrete & Continuous Dynamical Systems  B, 2012, 17 (7) : 23292341. doi: 10.3934/dcdsb.2012.17.2329 
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Xiaohu Wang, Dingshi Li, Jun Shen. WongZakai approximations and attractors for stochastic wave equations driven by additive noise. Discrete & Continuous Dynamical Systems  B, 2021, 26 (5) : 28292855. doi: 10.3934/dcdsb.2020207 
[13] 
Jianping Gao, Shangjiang Guo, Wenxian Shen. Persistence and time periodic positive solutions of doubly nonlocal FisherKPP equations in time periodic and space heterogeneous media. Discrete & Continuous Dynamical Systems  B, 2021, 26 (5) : 26452676. doi: 10.3934/dcdsb.2020199 
[14] 
Vladimir Georgiev, Sandra Lucente. Focusing nlkg equation with singular potential. Communications on Pure & Applied Analysis, 2018, 17 (4) : 13871406. doi: 10.3934/cpaa.2018068 
[15] 
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Cécile Carrère, Grégoire Nadin. Influence of mutations in phenotypicallystructured populations in time periodic environment. Discrete & Continuous Dynamical Systems  B, 2020, 25 (9) : 36093630. doi: 10.3934/dcdsb.2020075 
[17] 
Paula A. GonzálezParra, Sunmi Lee, Leticia Velázquez, Carlos CastilloChavez. A note on the use of optimal control on a discrete time model of influenza dynamics. Mathematical Biosciences & Engineering, 2011, 8 (1) : 183197. doi: 10.3934/mbe.2011.8.183 
[18] 
Guillermo Reyes, JuanLuis Vázquez. Long time behavior for the inhomogeneous PME in a medium with slowly decaying density. Communications on Pure & Applied Analysis, 2009, 8 (2) : 493508. doi: 10.3934/cpaa.2009.8.493 
[19] 
Linlin Li, Bedreddine Ainseba. Largetime behavior of matured population in an agestructured model. Discrete & Continuous Dynamical Systems  B, 2021, 26 (5) : 25612580. doi: 10.3934/dcdsb.2020195 
[20] 
Diana Keller. Optimal control of a linear stochastic Schrödinger equation. Conference Publications, 2013, 2013 (special) : 437446. doi: 10.3934/proc.2013.2013.437 
2019 Impact Factor: 1.338
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