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Approximate inertial manifolds of exponential order
1.  The Institute for Scientific Computing & Applied Mathematics, 618 E. Third St., Indiana University, Bloomington, IN 47405, United States 
[1] 
Nuno Costa Dias, Andrea Posilicano, João Nuno Prata. Selfadjoint, globally defined Hamiltonian operators for systems with boundaries. Communications on Pure and Applied Analysis, 2011, 10 (6) : 16871706. doi: 10.3934/cpaa.2011.10.1687 
[2] 
Abdallah El Hamidi, Aziz Hamdouni, Marwan Saleh. On eigenelements sensitivity for compact selfadjoint operators and applications. Discrete and Continuous Dynamical Systems  S, 2016, 9 (2) : 445455. doi: 10.3934/dcdss.2016006 
[3] 
Norbert Koksch, Stefan Siegmund. Feedback control via inertial manifolds for nonautonomous evolution equations. Communications on Pure and Applied Analysis, 2011, 10 (3) : 917936. doi: 10.3934/cpaa.2011.10.917 
[4] 
Olivier Goubet. Approximate inertial manifolds for a weakly damped nonlinear Schrödinger equation. Discrete and Continuous Dynamical Systems, 1997, 3 (4) : 503530. doi: 10.3934/dcds.1997.3.503 
[5] 
Oscar P. Manley. Some physical considerations attendant to the approximate inertial manifolds for NavierStokes equations. Discrete and Continuous Dynamical Systems, 1996, 2 (4) : 585593. doi: 10.3934/dcds.1996.2.585 
[6] 
Erik Kropat, Silja MeyerNieberg, GerhardWilhelm Weber. Computational networks and systemshomogenization of selfadjoint differential operators in variational form on periodic networks and microarchitectured systems. Numerical Algebra, Control and Optimization, 2017, 7 (2) : 139169. doi: 10.3934/naco.2017010 
[7] 
Dachun Yang, Sibei Yang. Maximal function characterizations of MusielakOrliczHardy spaces associated to nonnegative selfadjoint operators satisfying Gaussian estimates. Communications on Pure and Applied Analysis, 2016, 15 (6) : 21352160. doi: 10.3934/cpaa.2016031 
[8] 
Wen Deng. Resolvent estimates for a twodimensional nonselfadjoint operator. Communications on Pure and Applied Analysis, 2013, 12 (1) : 547596. doi: 10.3934/cpaa.2013.12.547 
[9] 
Rolf Bronstering. Some computational aspects of approximate inertial manifolds and finite differences. Discrete and Continuous Dynamical Systems, 1996, 2 (4) : 417454. doi: 10.3934/dcds.1996.2.417 
[10] 
A. V. Rezounenko. Inertial manifolds with delay for retarded semilinear parabolic equations. Discrete and Continuous Dynamical Systems, 2000, 6 (4) : 829840. doi: 10.3934/dcds.2000.6.829 
[11] 
Vladimir V. Chepyzhov, Anna Kostianko, Sergey Zelik. Inertial manifolds for the hyperbolic relaxation of semilinear parabolic equations. Discrete and Continuous Dynamical Systems  B, 2019, 24 (3) : 11151142. doi: 10.3934/dcdsb.2019009 
[12] 
Benjamin Boutin, Frédéric Coquel, Philippe G. LeFloch. Coupling techniques for nonlinear hyperbolic equations. Ⅱ. resonant interfaces with internal structure. Networks and Heterogeneous Media, 2021, 16 (2) : 283315. doi: 10.3934/nhm.2021007 
[13] 
O. A. Veliev. On the spectrality and spectral expansion of the nonselfadjoint mathieuhill operator in $ L_{2}(\infty, \infty) $. Communications on Pure and Applied Analysis, 2020, 19 (3) : 15371562. doi: 10.3934/cpaa.2020077 
[14] 
Mourad Bellassoued, Ibtissem Ben Aïcha, Zouhour Rezig. Stable determination of a vector field in a nonSelfAdjoint dynamical Schrödinger equation on Riemannian manifolds. Mathematical Control and Related Fields, 2021, 11 (2) : 403431. doi: 10.3934/mcrf.2020042 
[15] 
Boling Guo, Bixiang Wang. Gevrey regularity and approximate inertial manifolds for the derivative GinzburgLandau equation in two spatial dimensions. Discrete and Continuous Dynamical Systems, 1996, 2 (4) : 455466. doi: 10.3934/dcds.1996.2.455 
[16] 
Nguyen Thieu Huy, Pham Truong Xuan, Vu Thi Ngoc Ha, Vu Thi Thuy Ha. Inertial manifolds for parabolic differential equations: The fully nonautonomous case. Communications on Pure and Applied Analysis, 2022, 21 (3) : 943958. doi: 10.3934/cpaa.2022005 
[17] 
James C. Robinson. Computing inertial manifolds. Discrete and Continuous Dynamical Systems, 2002, 8 (4) : 815833. doi: 10.3934/dcds.2002.8.815 
[18] 
José M. Arrieta, Esperanza Santamaría. Estimates on the distance of inertial manifolds. Discrete and Continuous Dynamical Systems, 2014, 34 (10) : 39213944. doi: 10.3934/dcds.2014.34.3921 
[19] 
James C. Robinson. Inertial manifolds with and without delay. Discrete and Continuous Dynamical Systems, 1999, 5 (4) : 813824. doi: 10.3934/dcds.1999.5.813 
[20] 
Pengyu Chen, Xuping Zhang. Approximate controllability of nonlocal problem for nonautonomous stochastic evolution equations. Evolution Equations and Control Theory, 2021, 10 (3) : 471489. doi: 10.3934/eect.2020076 
2020 Impact Factor: 1.392
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