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Imaging of unknown targets inside inhomogeneous backgrounds by means of qualitative inverse scattering
Vector ellipsoidal harmonics and neuronal current decomposition in the brain
1.  Department of Chemical Engineering, University of Patras, Greece, Greece 
[1] 
Shruti Agarwal, Gilles Carbou, Stéphane Labbé, Christophe Prieur. Control of a network of magnetic ellipsoidal samples. Mathematical Control & Related Fields, 2011, 1 (2) : 129147. doi: 10.3934/mcrf.2011.1.129 
[2] 
Jan Haskovec, Nader Masmoudi, Christian Schmeiser, Mohamed Lazhar Tayeb. The Spherical Harmonics Expansion model coupled to the Poisson equation. Kinetic & Related Models, 2011, 4 (4) : 10631079. doi: 10.3934/krm.2011.4.1063 
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Ruotian Gao, Wenxun Xing. Robust sensitivity analysis for linear programming with ellipsoidal perturbation. Journal of Industrial & Management Optimization, 2020, 16 (4) : 20292044. doi: 10.3934/jimo.2019041 
[4] 
SeokBae Yun. Entropy production for ellipsoidal BGK model of the Boltzmann equation. Kinetic & Related Models, 2016, 9 (3) : 605619. doi: 10.3934/krm.2016009 
[5] 
Amadeu Delshams, Rodrigo G. Schaefer. Arnold diffusion for a complete family of perturbations with two independent harmonics. Discrete & Continuous Dynamical Systems  A, 2018, 38 (12) : 60476072. doi: 10.3934/dcds.2018261 
[6] 
Xiangjin Xu. Subharmonics of first order Hamiltonian systems and their asymptotic behaviors. Discrete & Continuous Dynamical Systems  B, 2003, 3 (4) : 643654. doi: 10.3934/dcdsb.2003.3.643 
[7] 
Annalisa Pascarella, Alberto Sorrentino, Cristina Campi, Michele Piana. Particle filtering, beamforming and multiple signal classification for the analysis of magnetoencephalography time series: a comparison of algorithms. Inverse Problems & Imaging, 2010, 4 (1) : 169190. doi: 10.3934/ipi.2010.4.169 
[8] 
HungChu Hsu. Exact azimuthal internal waves with an underlying current. Discrete & Continuous Dynamical Systems  A, 2017, 37 (8) : 43914398. doi: 10.3934/dcds.2017188 
[9] 
Sharif E. Guseynov, Eugene A. Kopytov, Edvin Puzinkevich. On continuous models of current stock of divisible productions. Conference Publications, 2011, 2011 (Special) : 601613. doi: 10.3934/proc.2011.2011.601 
[10] 
Jakub Cupera. Diffusion approximation of neuronal models revisited. Mathematical Biosciences & Engineering, 2014, 11 (1) : 1125. doi: 10.3934/mbe.2014.11.11 
[11] 
Tatiana Filippova. Differential equations of ellipsoidal state estimates in nonlinear control problems under uncertainty. Conference Publications, 2011, 2011 (Special) : 410419. doi: 10.3934/proc.2011.2011.410 
[12] 
Siwei Yu, Jianwei Ma, Stanley Osher. Geometric mode decomposition. Inverse Problems & Imaging, 2018, 12 (4) : 831852. doi: 10.3934/ipi.2018035 
[13] 
Stefano Bianchini, Daniela Tonon. A decomposition theorem for $BV$ functions. Communications on Pure & Applied Analysis, 2011, 10 (6) : 15491566. doi: 10.3934/cpaa.2011.10.1549 
[14] 
Andrey Olypher, Jean Vaillant. On the properties of inputtooutput transformations in neuronal networks. Mathematical Biosciences & Engineering, 2016, 13 (3) : 579596. doi: 10.3934/mbe.2016009 
[15] 
Susanna V. Haziot. Study of an elliptic partial differential equation modelling the Antarctic Circumpolar Current. Discrete & Continuous Dynamical Systems  A, 2019, 39 (8) : 44154427. doi: 10.3934/dcds.2019179 
[16] 
Daniele Andreucci, Dario Bellaveglia, Emilio N.M. Cirillo, Silvia Marconi. Effect of intracellular diffusion on currentvoltage curves in potassium channels. Discrete & Continuous Dynamical Systems  B, 2014, 19 (7) : 18371853. doi: 10.3934/dcdsb.2014.19.1837 
[17] 
Carlos Montalto, Alexandru Tamasan. Stability in conductivity imaging from partial measurements of one interior current. Inverse Problems & Imaging, 2017, 11 (2) : 339353. doi: 10.3934/ipi.2017016 
[18] 
Gaël Bonithon. LandauLifschitzGilbert equation with applied eletric current. Conference Publications, 2007, 2007 (Special) : 138144. doi: 10.3934/proc.2007.2007.138 
[19] 
Frank Jochmann. A variational inequality in Bean's model for superconductors with displacement current. Discrete & Continuous Dynamical Systems  A, 2009, 25 (2) : 545565. doi: 10.3934/dcds.2009.25.545 
[20] 
Fredi Tröltzsch, Alberto Valli. Optimal voltage control of nonstationary eddy current problems. Mathematical Control & Related Fields, 2018, 8 (1) : 3556. doi: 10.3934/mcrf.2018002 
2019 Impact Factor: 1.373
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