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1.  Department of Machinery and Control Systems, College of Systems Engineering and Science,, Shibaura Institute of Technology, 307 Fukasaku, Minumaku, Saitamashi, Saitama 3378570 
[1] 
Viorel Barbu, Gabriela Marinoschi. An identification problem for a linear evolution equation in a banach space. Discrete and Continuous Dynamical Systems  S, 2020, 13 (5) : 14291440. doi: 10.3934/dcdss.2020081 
[2] 
Lili Du, ZhengAn Yao. Localization of blowup points for a nonlinear nonlocal porous medium equation. Communications on Pure and Applied Analysis, 2007, 6 (1) : 183190. doi: 10.3934/cpaa.2007.6.183 
[3] 
Alfredo Lorenzi, Ioan I. Vrabie. An identification problem for a linear evolution equation in a Banach space and applications. Discrete and Continuous Dynamical Systems  S, 2011, 4 (3) : 671691. doi: 10.3934/dcdss.2011.4.671 
[4] 
Alexander Gladkov. Blowup problem for semilinear heat equation with nonlinear nonlocal Neumann boundary condition. Communications on Pure and Applied Analysis, 2017, 16 (6) : 20532068. doi: 10.3934/cpaa.2017101 
[5] 
Jaeyoung Byeon, Sangdon Jin. The Hénon equation with a critical exponent under the Neumann boundary condition. Discrete and Continuous Dynamical Systems, 2018, 38 (9) : 43534390. doi: 10.3934/dcds.2018190 
[6] 
Guillermo Reyes, JuanLuis Vázquez. The Cauchy problem for the inhomogeneous porous medium equation. Networks and Heterogeneous Media, 2006, 1 (2) : 337351. doi: 10.3934/nhm.2006.1.337 
[7] 
Luis Caffarelli, JuanLuis Vázquez. Asymptotic behaviour of a porous medium equation with fractional diffusion. Discrete and Continuous Dynamical Systems, 2011, 29 (4) : 13931404. doi: 10.3934/dcds.2011.29.1393 
[8] 
Noboru Okazawa, Tomomi Yokota. Subdifferential operator approach to strong wellposedness of the complex GinzburgLandau equation. Discrete and Continuous Dynamical Systems, 2010, 28 (1) : 311341. doi: 10.3934/dcds.2010.28.311 
[9] 
Hakima Bessaih, Yalchin Efendiev, Florin Maris. Homogenization of the evolution Stokes equation in a perforated domain with a stochastic Fourier boundary condition. Networks and Heterogeneous Media, 2015, 10 (2) : 343367. doi: 10.3934/nhm.2015.10.343 
[10] 
Umberto De Maio, Akamabadath K. Nandakumaran, Carmen Perugia. Exact internal controllability for the wave equation in a domain with oscillating boundary with Neumann boundary condition. Evolution Equations and Control Theory, 2015, 4 (3) : 325346. doi: 10.3934/eect.2015.4.325 
[11] 
Ansgar Jüngel, Ingrid Violet. Mixed entropy estimates for the porousmedium equation with convection. Discrete and Continuous Dynamical Systems  B, 2009, 12 (4) : 783796. doi: 10.3934/dcdsb.2009.12.783 
[12] 
Jing Li, Yifu Wang, Jingxue Yin. Nonsharp travelling waves for a dual porous medium equation. Communications on Pure and Applied Analysis, 2016, 15 (2) : 623636. doi: 10.3934/cpaa.2016.15.623 
[13] 
Xinfu Chen, JongShenq Guo, Bei Hu. Deadcore rates for the porous medium equation with a strong absorption. Discrete and Continuous Dynamical Systems  B, 2012, 17 (6) : 17611774. doi: 10.3934/dcdsb.2012.17.1761 
[14] 
Sofía Nieto, Guillermo Reyes. Asymptotic behavior of the solutions of the inhomogeneous Porous Medium Equation with critical vanishing density. Communications on Pure and Applied Analysis, 2013, 12 (2) : 11231139. doi: 10.3934/cpaa.2013.12.1123 
[15] 
Gabriele Grillo, Matteo Muratori, Fabio Punzo. On the asymptotic behaviour of solutions to the fractional porous medium equation with variable density. Discrete and Continuous Dynamical Systems, 2015, 35 (12) : 59275962. doi: 10.3934/dcds.2015.35.5927 
[16] 
Zhilei Liang. On the critical exponents for porous medium equation with a localized reaction in high dimensions. Communications on Pure and Applied Analysis, 2012, 11 (2) : 649658. doi: 10.3934/cpaa.2012.11.649 
[17] 
Shouming Zhou, Chunlai Mu, Yongsheng Mi, Fuchen Zhang. Blowup for a nonlocal diffusion equation with exponential reaction term and Neumann boundary condition. Communications on Pure and Applied Analysis, 2013, 12 (6) : 29352946. doi: 10.3934/cpaa.2013.12.2935 
[18] 
Larissa Fardigola, Kateryna Khalina. Controllability problems for the heat equation on a halfaxis with a bounded control in the Neumann boundary condition. Mathematical Control and Related Fields, 2021, 11 (1) : 211236. doi: 10.3934/mcrf.2020034 
[19] 
Hongwei Zhang, Qingying Hu. Asymptotic behavior and nonexistence of wave equation with nonlinear boundary condition. Communications on Pure and Applied Analysis, 2005, 4 (4) : 861869. doi: 10.3934/cpaa.2005.4.861 
[20] 
JongShenq Guo. Blowup behavior for a quasilinear parabolic equation with nonlinear boundary condition. Discrete and Continuous Dynamical Systems, 2007, 18 (1) : 7184. doi: 10.3934/dcds.2007.18.71 
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