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Homogenization limit and asymptotic decay for electrical conduction in biological tissues in the high radiofrequency range
Large time behavior of solutions to a movinginterface problem modeling concrete carbonation
1.  Department of Mathematics, Faculty of Education, Gifu University, Yanagido 11, Gifu, 5011193, Japan 
2.  CASA  Centre for Analysis, Scientific computing and Applications, Department of Mathematics and Computer Science, Institute of Complex Molecular Systems, Eindhoven University of Technology, PO Box 513, 5600 MB Eindhoven, Netherlands 
[1] 
Andrei V. Dmitruk, Nikolai P. Osmolovskii. Proof of the maximum principle for a problem with state constraints by the vchange of time variable. Discrete & Continuous Dynamical Systems  B, 2019, 24 (5) : 21892204. doi: 10.3934/dcdsb.2019090 
[2] 
Cong He, Hongjun Yu. Large time behavior of the solution to the Landau Equation with specular reflective boundary condition. Kinetic & Related Models, 2013, 6 (3) : 601623. doi: 10.3934/krm.2013.6.601 
[3] 
Harunori Monobe. Behavior of radially symmetric solutions for a free boundary problem related to cell motility. Discrete & Continuous Dynamical Systems  S, 2015, 8 (5) : 989997. doi: 10.3934/dcdss.2015.8.989 
[4] 
Zaidong Zhan, Shuping Chen, Wei Wei. A unified theory of maximum principle for continuous and discrete time optimal control problems. Mathematical Control & Related Fields, 2012, 2 (2) : 195215. doi: 10.3934/mcrf.2012.2.195 
[5] 
Yan Wang, Yanxiang Zhao, Lei Wang, Aimin Song, Yanping Ma. Stochastic maximum principle for partial information optimal investment and dividend problem of an insurer. Journal of Industrial & Management Optimization, 2018, 14 (2) : 653671. doi: 10.3934/jimo.2017067 
[6] 
Shaolin Ji, Xiaole Xue. A stochastic maximum principle for linear quadratic problem with nonconvex control domain. Mathematical Control & Related Fields, 2019, 9 (3) : 495507. doi: 10.3934/mcrf.2019022 
[7] 
Yaobin Ou, Pan Shi. Global classical solutions to the free boundary problem of planar full magnetohydrodynamic equations with large initial data. Discrete & Continuous Dynamical Systems  B, 2017, 22 (2) : 537567. doi: 10.3934/dcdsb.2017026 
[8] 
Ken Shirakawa, Hiroshi Watanabe. Largetime behavior for a PDE model of isothermal grain boundary motion with a constraint. Conference Publications, 2015, 2015 (special) : 10091018. doi: 10.3934/proc.2015.1009 
[9] 
Zhenhua Guo, Wenchao Dong, Jinjing Liu. Largetime behavior of solution to an inflow problem on the half space for a class of compressible nonNewtonian fluids. Communications on Pure & Applied Analysis, 2019, 18 (4) : 21332161. doi: 10.3934/cpaa.2019096 
[10] 
Junde Wu, Shangbin Cui. Asymptotic behavior of solutions of a free boundary problem modelling the growth of tumors with Stokes equations. Discrete & Continuous Dynamical Systems  A, 2009, 24 (2) : 625651. doi: 10.3934/dcds.2009.24.625 
[11] 
Junde Wu, Shangbin Cui. Asymptotic behavior of solutions for parabolic differential equations with invariance and applications to a free boundary problem modeling tumor growth. Discrete & Continuous Dynamical Systems  A, 2010, 26 (2) : 737765. doi: 10.3934/dcds.2010.26.737 
[12] 
H. O. Fattorini. The maximum principle in infinite dimension. Discrete & Continuous Dynamical Systems  A, 2000, 6 (3) : 557574. doi: 10.3934/dcds.2000.6.557 
[13] 
Jesus Ildefonso Díaz, Jacqueline FleckingerPellé. Positivity for large time of solutions of the heat equation: the parabolic antimaximum principle. Discrete & Continuous Dynamical Systems  A, 2004, 10 (1&2) : 193200. doi: 10.3934/dcds.2004.10.193 
[14] 
Geonho Lee, Sangdong Kim, YoungSam Kwon. Large time behavior for the full compressible magnetohydrodynamic flows. Communications on Pure & Applied Analysis, 2012, 11 (3) : 959971. doi: 10.3934/cpaa.2012.11.959 
[15] 
Jian Yang. Asymptotic behavior of solutions for competitive models with a free boundary. Discrete & Continuous Dynamical Systems  A, 2015, 35 (7) : 32533276. doi: 10.3934/dcds.2015.35.3253 
[16] 
Toyohiko Aiki. A free boundary problem for an elastic material. Conference Publications, 2007, 2007 (Special) : 1017. doi: 10.3934/proc.2007.2007.10 
[17] 
Qiaoling Chen, Fengquan Li, Feng Wang. A diffusive logistic problem with a free boundary in timeperiodic environment: Favorable habitat or unfavorable habitat. Discrete & Continuous Dynamical Systems  B, 2016, 21 (1) : 1335. doi: 10.3934/dcdsb.2016.21.13 
[18] 
Shihe Xu, Meng Bai, Fangwei Zhang. Analysis of a free boundary problem for tumor growth with GibbsThomson relation and time delays. Discrete & Continuous Dynamical Systems  B, 2018, 23 (9) : 35353551. doi: 10.3934/dcdsb.2017213 
[19] 
Hayk Mikayelyan, Henrik Shahgholian. Convexity of the free boundary for an exterior free boundary problem involving the perimeter. Communications on Pure & Applied Analysis, 2013, 12 (3) : 14311443. doi: 10.3934/cpaa.2013.12.1431 
[20] 
Hancheng Guo, Jie Xiong. A secondorder stochastic maximum principle for generalized meanfield singular control problem. Mathematical Control & Related Fields, 2018, 8 (2) : 451473. doi: 10.3934/mcrf.2018018 
2018 Impact Factor: 0.925
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