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The linear damped wave equation, Hamiltonian symmetry, and the importance of being odd
Asymptotic behaviour of optimal solutions of control problems governed by inclusions
1.  Institute of Computer Science, Jagiellonian University, Nawojki 11, 30072 Kraków, Poland 
[1] 
Isabeau Birindelli, Françoise Demengel, Fabiana Leoni. Boundary asymptotics of the ergodic functions associated with fully nonlinear operators through a Liouville type theorem. Discrete & Continuous Dynamical Systems  A, 2020 doi: 10.3934/dcds.2020395 
[2] 
Xiuli Xu, Xueke Pu. Optimal convergence rates of the magnetohydrodynamic model for quantum plasmas with potential force. Discrete & Continuous Dynamical Systems  B, 2021, 26 (2) : 9871010. doi: 10.3934/dcdsb.2020150 
[3] 
Pierluigi Colli, Gianni Gilardi, Jürgen Sprekels. Deep quench approximation and optimal control of general Cahn–Hilliard systems with fractional operators and double obstacle potentials. Discrete & Continuous Dynamical Systems  S, 2021, 14 (1) : 243271. doi: 10.3934/dcdss.2020213 
[4] 
George W. Patrick. The geometry of convergence in numerical analysis. Journal of Computational Dynamics, 2021, 8 (1) : 3358. doi: 10.3934/jcd.2021003 
[5] 
Matania Ben–Artzi, Joseph Falcovitz, Jiequan Li. The convergence of the GRP scheme. Discrete & Continuous Dynamical Systems  A, 2009, 23 (1&2) : 127. doi: 10.3934/dcds.2009.23.1 
[6] 
YiLong Luo, Yangjun Ma. Low Mach number limit for the compressible inertial QianSheng model of liquid crystals: Convergence for classical solutions. Discrete & Continuous Dynamical Systems  A, 2021, 41 (2) : 921966. doi: 10.3934/dcds.2020304 
[7] 
KungChing Chang, Xuefeng Wang, Xie Wu. On the spectral theory of positive operators and PDE applications. Discrete & Continuous Dynamical Systems  A, 2020, 40 (6) : 31713200. doi: 10.3934/dcds.2020054 
[8] 
Matthieu Alfaro, Isabeau Birindelli. Evolution equations involving nonlinear truncated Laplacian operators. Discrete & Continuous Dynamical Systems  A, 2020, 40 (6) : 30573073. doi: 10.3934/dcds.2020046 
[9] 
Zuliang Lu, Fei Huang, Xiankui Wu, Lin Li, Shang Liu. Convergence and quasioptimality of $ L^2 $norms based an adaptive finite element method for nonlinear optimal control problems. Electronic Research Archive, 2020, 28 (4) : 14591486. doi: 10.3934/era.2020077 
[10] 
Huiying Fan, Tao Ma. Parabolic equations involving Laguerre operators and weighted mixednorm estimates. Communications on Pure & Applied Analysis, 2020, 19 (12) : 54875508. doi: 10.3934/cpaa.2020249 
[11] 
Yuxia Guo, Shaolong Peng. A direct method of moving planes for fully nonlinear nonlocal operators and applications. Discrete & Continuous Dynamical Systems  S, 2020 doi: 10.3934/dcdss.2020462 
[12] 
Anton A. Kutsenko. Isomorphism between onedimensional and multidimensional finite difference operators. Communications on Pure & Applied Analysis, 2021, 20 (1) : 359368. doi: 10.3934/cpaa.2020270 
[13] 
Thierry Horsin, Mohamed Ali Jendoubi. On the convergence to equilibria of a sequence defined by an implicit scheme. Discrete & Continuous Dynamical Systems  S, 2020 doi: 10.3934/dcdss.2020465 
[14] 
Philipp Harms. Strong convergence rates for markovian representations of fractional processes. Discrete & Continuous Dynamical Systems  B, 2020 doi: 10.3934/dcdsb.2020367 
[15] 
Alberto Bressan, Carlotta Donadello. On the convergence of viscous approximations after shock interactions. Discrete & Continuous Dynamical Systems  A, 2009, 23 (1&2) : 2948. doi: 10.3934/dcds.2009.23.29 
[16] 
Serena Dipierro, Benedetta Pellacci, Enrico Valdinoci, Gianmaria Verzini. Timefractional equations with reaction terms: Fundamental solutions and asymptotics. Discrete & Continuous Dynamical Systems  A, 2021, 41 (1) : 257275. doi: 10.3934/dcds.2020137 
[17] 
Joel Kübler, Tobias Weth. Spectral asymptotics of radial solutions and nonradial bifurcation for the Hénon equation. Discrete & Continuous Dynamical Systems  A, 2020, 40 (6) : 36293656. doi: 10.3934/dcds.2020032 
[18] 
Parikshit Upadhyaya, Elias Jarlebring, Emanuel H. Rubensson. A density matrix approach to the convergence of the selfconsistent field iteration. Numerical Algebra, Control & Optimization, 2021, 11 (1) : 99115. doi: 10.3934/naco.2020018 
[19] 
Gang Luo, Qingzhi Yang. The pointwise convergence of shifted symmetric higher order power method. Journal of Industrial & Management Optimization, 2021, 17 (1) : 357368. doi: 10.3934/jimo.2019115 
[20] 
Toshiko Ogiwara, Danielle Hilhorst, Hiroshi Matano. Convergence and structure theorems for orderpreserving dynamical systems with mass conservation. Discrete & Continuous Dynamical Systems  A, 2020, 40 (6) : 38833907. doi: 10.3934/dcds.2020129 
2019 Impact Factor: 1.338
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