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Heteroclinic motions joining almost periodic solutions for a class of Lagrangian systems
A sharp trace result on a thermoelastic plate equation with coupled hinged/Neumann boundary conditions
1.  Department of Mathematics, University of Virginia, Charlottesville, VA 22903 
2.  Department of Mathematics, University of Virginia, P.O. Box 400137, Charlottesville, VA 22904 
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Alaa Hayek, Serge Nicaise, Zaynab Salloum, Ali Wehbe. Exponential and polynomial stability results for networks of elastic and thermoelastic rods. Discrete and Continuous Dynamical Systems  S, 2022, 15 (5) : 11831220. doi: 10.3934/dcdss.2021142 
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Roberto Triggiani. Sharp regularity theory of second order hyperbolic equations with Neumann boundary control nonsmooth in space. Evolution Equations and Control Theory, 2016, 5 (4) : 489514. doi: 10.3934/eect.2016016 
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Zhenhua Zhang. Asymptotic behavior of solutions to the phasefield equations with neumann boundary conditions. Communications on Pure and Applied Analysis, 2005, 4 (3) : 683693. doi: 10.3934/cpaa.2005.4.683 
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Shu Luan. On the existence of optimal control for semilinear elliptic equations with nonlinear neumann boundary conditions. Mathematical Control and Related Fields, 2017, 7 (3) : 493506. doi: 10.3934/mcrf.2017018 
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Jason Metcalfe, Jacob Perry. Global solutions to quasilinear wave equations in homogeneous waveguides with Neumann boundary conditions. Communications on Pure and Applied Analysis, 2012, 11 (2) : 547556. doi: 10.3934/cpaa.2012.11.547 
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Minoo Kamrani. Numerical solution of partial differential equations with stochastic Neumann boundary conditions. Discrete and Continuous Dynamical Systems  B, 2019, 24 (10) : 53375354. doi: 10.3934/dcdsb.2019061 
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Katerina Nik. On a free boundary model for threedimensional MEMS with a hinged top plate II: Parabolic case. Communications on Pure and Applied Analysis, 2021, 20 (10) : 33953417. doi: 10.3934/cpaa.2021110 
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Giovanni Cupini, Paolo Marcellini, Elvira Mascolo. Regularity under sharp anisotropic general growth conditions. Discrete and Continuous Dynamical Systems  B, 2009, 11 (1) : 6786. doi: 10.3934/dcdsb.2009.11.67 
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Alberto Ferrero, Filippo Gazzola. A partially hinged rectangular plate as a model for suspension bridges. Discrete and Continuous Dynamical Systems, 2015, 35 (12) : 58795908. doi: 10.3934/dcds.2015.35.5879 
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Antonino Morassi, Edi Rosset, Sergio Vessella. Unique determination of a cavity in an elastic plate by two boundary measurements. Inverse Problems and Imaging, 2007, 1 (3) : 481506. doi: 10.3934/ipi.2007.1.481 
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T. J. Christiansen. Resonances and balls in obstacle scattering with Neumann boundary conditions. Inverse Problems and Imaging, 2008, 2 (3) : 335340. doi: 10.3934/ipi.2008.2.335 
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Mariane Bourgoing. Viscosity solutions of fully nonlinear second order parabolic equations with $L^1$ dependence in time and Neumann boundary conditions. Discrete and Continuous Dynamical Systems, 2008, 21 (3) : 763800. doi: 10.3934/dcds.2008.21.763 
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Michela Eleuteri, Jana Kopfová, Pavel Krejčí. Fatigue accumulation in a thermoviscoelastoplastic plate. Discrete and Continuous Dynamical Systems  B, 2014, 19 (7) : 20912109. doi: 10.3934/dcdsb.2014.19.2091 
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Andrzej Nowakowski. Variational analysis of semilinear plate equation with free boundary conditions. Discrete and Continuous Dynamical Systems, 2015, 35 (7) : 31333154. doi: 10.3934/dcds.2015.35.3133 
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Robert Denk, Yoshihiro Shibata. Generation of semigroups for the thermoelastic plate equation with free boundary conditions. Evolution Equations and Control Theory, 2019, 8 (2) : 301313. doi: 10.3934/eect.2019016 
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Scott W. Hansen, Oleg Yu Imanuvilov. Exact controllability of a multilayer RaoNakra plate with free boundary conditions. Mathematical Control and Related Fields, 2011, 1 (2) : 189230. doi: 10.3934/mcrf.2011.1.189 
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Mengni Li. Global regularity for a class of MongeAmpère type equations with nonzero boundary conditions. Communications on Pure and Applied Analysis, 2021, 20 (1) : 301317. doi: 10.3934/cpaa.2020267 
[19] 
Peter Weidemaier. Maximal regularity for parabolic equations with inhomogeneous boundary conditions in Sobolev spaces with mixed $L_p$norm. Electronic Research Announcements, 2002, 8: 4751. 
[20] 
Alessio Falocchi, Filippo Gazzola. Regularity for the 3D evolution NavierStokes equations under Navier boundary conditions in some Lipschitz domains. Discrete and Continuous Dynamical Systems, 2022, 42 (3) : 11851200. doi: 10.3934/dcds.2021151 
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