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BegehrHile operator and its applications to some differential equations
Fast rate of dead core for fast diffusion equation with strong absorption
1.  College of mathematics and physics, Chongqing University, Chongqing, 400044, China 
2.  College of mathematics and physics, Chongqing University, Chongqing, 400044, School of mathematics and statistics, Southwest University, Chongqing, 400715, China 
3.  Department of Mathematics, Sichuan Normal University, Chengdu, 610066, China 
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Marek Fila, Michael Winkler. Sharp rate of convergence to Barenblatt profiles for a critical fast diffusion equation. Communications on Pure & Applied Analysis, 2015, 14 (1) : 107119. doi: 10.3934/cpaa.2015.14.107 
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ChinChin Wu, Zhengce Zhang. Deadcore rates for the heat equation with a spatially dependent strong absorption. Discrete & Continuous Dynamical Systems  B, 2013, 18 (8) : 22032210. doi: 10.3934/dcdsb.2013.18.2203 
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Xinfu Chen, JongShenq Guo, Bei Hu. Deadcore rates for the porous medium equation with a strong absorption. Discrete & Continuous Dynamical Systems  B, 2012, 17 (6) : 17611774. doi: 10.3934/dcdsb.2012.17.1761 
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ShuYu Hsu. Super fast vanishing solutions of the fast diffusion equation. Discrete & Continuous Dynamical Systems, 2020, 40 (9) : 53835414. doi: 10.3934/dcds.2020232 
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ShinYi Lee, ShinHwa Wang, ChiouPing Ye. Explicit necessary and sufficient conditions for the existence of a dead core solution of a plaplacian steadystate reactiondiffusion problem. Conference Publications, 2005, 2005 (Special) : 587596. doi: 10.3934/proc.2005.2005.587 
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H. T. Liu. Impulsive effects on the existence of solutions for a fast diffusion equation. Conference Publications, 2001, 2001 (Special) : 248253. doi: 10.3934/proc.2001.2001.248 
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Marek Fila, JuanLuis Vázquez, Michael Winkler. A continuum of extinction rates for the fast diffusion equation. Communications on Pure & Applied Analysis, 2011, 10 (4) : 11291147. doi: 10.3934/cpaa.2011.10.1129 
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Marek Fila, Hannes Stuke. Special asymptotics for a critical fast diffusion equation. Discrete & Continuous Dynamical Systems  S, 2014, 7 (4) : 725735. doi: 10.3934/dcdss.2014.7.725 
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Kin Ming Hui, Soojung Kim. Asymptotic large time behavior of singular solutions of the fast diffusion equation. Discrete & Continuous Dynamical Systems, 2017, 37 (11) : 59435977. doi: 10.3934/dcds.2017258 
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Kin Ming Hui, Jinwan Park. Asymptotic behaviour of singular solution of the fast diffusion equation in the punctured euclidean space. Discrete & Continuous Dynamical Systems, 2021, 41 (11) : 54735508. doi: 10.3934/dcds.2021085 
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Marcel Freitag. The fast signal diffusion limit in nonlinear chemotaxis systems. Discrete & Continuous Dynamical Systems  B, 2020, 25 (3) : 11091128. doi: 10.3934/dcdsb.2019211 
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Haili Qiao, Aijie Cheng. A fast high order method for time fractional diffusion equation with nonsmooth data. Discrete & Continuous Dynamical Systems  B, 2021 doi: 10.3934/dcdsb.2021073 
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