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Exact boundary controllability of Maxwell's equations with weak conductivity in the heterogeneous medium inside a general domain
1.  MIT Lincoln Laboratory, 244 Wood Street, Lexington, MA 024209108, United States 
[1] 
B. L. G. Jonsson. Wave splitting of Maxwell's equations with anisotropic heterogeneous constitutive relations. Inverse Problems & Imaging, 2009, 3 (3) : 405452. doi: 10.3934/ipi.2009.3.405 
[2] 
Matthias Eller. A remark on Littman's method of boundary controllability. Evolution Equations & Control Theory, 2013, 2 (4) : 621630. doi: 10.3934/eect.2013.2.621 
[3] 
M. Eller. On boundary regularity of solutions to Maxwell's equations with a homogeneous conservative boundary condition. Discrete & Continuous Dynamical Systems  S, 2009, 2 (3) : 473481. doi: 10.3934/dcdss.2009.2.473 
[4] 
Matthias Eller. Stability of the anisotropic Maxwell equations with a conductivity term. Evolution Equations & Control Theory, 2019, 8 (2) : 343357. doi: 10.3934/eect.2019018 
[5] 
Cleverson R. da Luz, Gustavo Alberto Perla Menzala. Uniform stabilization of anisotropic Maxwell's equations with boundary dissipation. Discrete & Continuous Dynamical Systems  S, 2009, 2 (3) : 547558. doi: 10.3934/dcdss.2009.2.547 
[6] 
W. Wei, H. M. Yin. Global solvability for a singular nonlinear Maxwell's equations. Communications on Pure & Applied Analysis, 2005, 4 (2) : 431444. doi: 10.3934/cpaa.2005.4.431 
[7] 
Björn Birnir, Niklas Wellander. Homogenized Maxwell's equations; A model for ceramic varistors. Discrete & Continuous Dynamical Systems  B, 2006, 6 (2) : 257272. doi: 10.3934/dcdsb.2006.6.257 
[8] 
Thierry Colin, Boniface Nkonga. Multiscale numerical method for nonlinear Maxwell equations. Discrete & Continuous Dynamical Systems  B, 2005, 5 (3) : 631658. doi: 10.3934/dcdsb.2005.5.631 
[9] 
Khalid Latrach, Hatem Megdiche. Time asymptotic behaviour for Rotenberg's model with Maxwell boundary conditions. Discrete & Continuous Dynamical Systems  A, 2011, 29 (1) : 305321. doi: 10.3934/dcds.2011.29.305 
[10] 
Oleg Yu. Imanuvilov, Masahiro Yamamoto. Calderón problem for Maxwell's equations in cylindrical domain. Inverse Problems & Imaging, 2014, 8 (4) : 11171137. doi: 10.3934/ipi.2014.8.1117 
[11] 
Andreas Kirsch. An integral equation approach and the interior transmission problem for Maxwell's equations. Inverse Problems & Imaging, 2007, 1 (1) : 159179. doi: 10.3934/ipi.2007.1.159 
[12] 
Gang Bao, Bin Hu, Peijun Li, Jue Wang. Analysis of timedomain Maxwell's equations in biperiodic structures. Discrete & Continuous Dynamical Systems  B, 2017, 22 (11) : 128. doi: 10.3934/dcdsb.2019181 
[13] 
Lahcen Maniar, Martin Meyries, Roland Schnaubelt. Null controllability for parabolic equations with dynamic boundary conditions. Evolution Equations & Control Theory, 2017, 6 (3) : 381407. doi: 10.3934/eect.2017020 
[14] 
Panagiota Daskalopoulos, Eunjai Rhee. Freeboundary regularity for generalized porous medium equations. Communications on Pure & Applied Analysis, 2003, 2 (4) : 481494. doi: 10.3934/cpaa.2003.2.481 
[15] 
Eric Chung, Yalchin Efendiev, Ke Shi, Shuai Ye. A multiscale model reduction method for nonlinear monotone elliptic equations in heterogeneous media. Networks & Heterogeneous Media, 2017, 12 (4) : 619642. doi: 10.3934/nhm.2017025 
[16] 
Dirk Pauly. On Maxwell's and Poincaré's constants. Discrete & Continuous Dynamical Systems  S, 2015, 8 (3) : 607618. doi: 10.3934/dcdss.2015.8.607 
[17] 
Kim Dang Phung. Energy decay for Maxwell's equations with Ohm's law in partially cubic domains. Communications on Pure & Applied Analysis, 2013, 12 (5) : 22292266. doi: 10.3934/cpaa.2013.12.2229 
[18] 
Zilai Li, Zhenhua Guo. On free boundary problem for compressible navierstokes equations with temperaturedependent heat conductivity. Discrete & Continuous Dynamical Systems  B, 2017, 22 (10) : 39033919. doi: 10.3934/dcdsb.2017201 
[19] 
Lars Grüne, Peter E. Kloeden, Stefan Siegmund, Fabian R. Wirth. Lyapunov's second method for nonautonomous differential equations. Discrete & Continuous Dynamical Systems  A, 2007, 18 (2&3) : 375403. doi: 10.3934/dcds.2007.18.375 
[20] 
J. J. Morgan, HongMing Yin. On Maxwell's system with a thermal effect. Discrete & Continuous Dynamical Systems  B, 2001, 1 (4) : 485494. doi: 10.3934/dcdsb.2001.1.485 
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