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Sign changing solutions to a BahriCoron's problem in pierced domains
The decay of global solutions of a semilinear heat equation
1.  Department of Applied Mathematics and Statistics, Comenius University, Mlynská dolina, 84248 Bratislava, Slovak Republic 
[1] 
Xiumei Deng, Jun Zhou. Global existence and blowup of solutions to a semilinear heat equation with singular potential and logarithmic nonlinearity. Communications on Pure & Applied Analysis, 2020, 19 (2) : 923939. doi: 10.3934/cpaa.2020042 
[2] 
Alexander Gladkov. Blowup problem for semilinear heat equation with nonlinear nonlocal Neumann boundary condition. Communications on Pure & Applied Analysis, 2017, 16 (6) : 20532068. doi: 10.3934/cpaa.2017101 
[3] 
Yohei Fujishima. On the effect of higher order derivatives of initial data on the blowup set for a semilinear heat equation. Communications on Pure & Applied Analysis, 2018, 17 (2) : 449475. doi: 10.3934/cpaa.2018025 
[4] 
Francesca De Marchis, Isabella Ianni. Blow up of solutions of semilinear heat equations in non radial domains of $\mathbb{R}^2$. Discrete & Continuous Dynamical Systems, 2015, 35 (3) : 891907. doi: 10.3934/dcds.2015.35.891 
[5] 
Asato Mukai, Yukihiro Seki. Refined construction of type II blowup solutions for semilinear heat equations with Joseph–Lundgren supercritical nonlinearity. Discrete & Continuous Dynamical Systems, 2021, 41 (10) : 48474885. doi: 10.3934/dcds.2021060 
[6] 
Kazuhiro Ishige, Michinori Ishiwata. Global solutions for a semilinear heat equation in the exterior domain of a compact set. Discrete & Continuous Dynamical Systems, 2012, 32 (3) : 847865. doi: 10.3934/dcds.2012.32.847 
[7] 
Keisuke Matsuya, Tetsuji Tokihiro. Existence and nonexistence of global solutions for a discrete semilinear heat equation. Discrete & Continuous Dynamical Systems, 2011, 31 (1) : 209220. doi: 10.3934/dcds.2011.31.209 
[8] 
Van Tien Nguyen. On the blowup results for a class of strongly perturbed semilinear heat equations. Discrete & Continuous Dynamical Systems, 2015, 35 (8) : 35853626. doi: 10.3934/dcds.2015.35.3585 
[9] 
Wenjun Liu, Jiangyong Yu, Gang Li. Global existence, exponential decay and blowup of solutions for a class of fractional pseudoparabolic equations with logarithmic nonlinearity. Discrete & Continuous Dynamical Systems  S, 2021, 14 (12) : 43374366. doi: 10.3934/dcdss.2021121 
[10] 
Júlia Matos. Unfocused blow up solutions of semilinear parabolic equations. Discrete & Continuous Dynamical Systems, 1999, 5 (4) : 905928. doi: 10.3934/dcds.1999.5.905 
[11] 
Mingyou Zhang, Qingsong Zhao, Yu Liu, Wenke Li. Finite time blowup and global existence of solutions for semilinear parabolic equations with nonlinear dynamical boundary condition. Electronic Research Archive, 2020, 28 (1) : 369381. doi: 10.3934/era.2020021 
[12] 
Hua Chen, Huiyang Xu. Global existence and blowup of solutions for infinitely degenerate semilinear pseudoparabolic equations with logarithmic nonlinearity. Discrete & Continuous Dynamical Systems, 2019, 39 (2) : 11851203. doi: 10.3934/dcds.2019051 
[13] 
Akmel Dé Godefroy. Existence, decay and blowup for solutions to the sixthorder generalized Boussinesq equation. Discrete & Continuous Dynamical Systems, 2015, 35 (1) : 117137. doi: 10.3934/dcds.2015.35.117 
[14] 
Yuta Wakasugi. Blowup of solutions to the onedimensional semilinear wave equation with damping depending on time and space variables. Discrete & Continuous Dynamical Systems, 2014, 34 (9) : 38313846. doi: 10.3934/dcds.2014.34.3831 
[15] 
Keng Deng, Zhihua Dong. Blowup for the heat equation with a general memory boundary condition. Communications on Pure & Applied Analysis, 2012, 11 (5) : 21472156. doi: 10.3934/cpaa.2012.11.2147 
[16] 
Yohei Fujishima. Blowup set for a superlinear heat equation and pointedness of the initial data. Discrete & Continuous Dynamical Systems, 2014, 34 (11) : 46174645. doi: 10.3934/dcds.2014.34.4617 
[17] 
Takiko Sasaki. Convergence of a blowup curve for a semilinear wave equation. Discrete & Continuous Dynamical Systems  S, 2021, 14 (3) : 11331143. doi: 10.3934/dcdss.2020388 
[18] 
Juliana Fernandes, Liliane Maia. Blowup and bounded solutions for a semilinear parabolic problem in a saturable medium. Discrete & Continuous Dynamical Systems, 2021, 41 (3) : 12971318. doi: 10.3934/dcds.2020318 
[19] 
Qiong Chen, Chunlai Mu, Zhaoyin Xiang. Blowup and asymptotic behavior of solutions to a semilinear integrodifferential system. Communications on Pure & Applied Analysis, 2006, 5 (3) : 435446. doi: 10.3934/cpaa.2006.5.435 
[20] 
Zhijun Zhang, Ling Mi. Blowup rates of large solutions for semilinear elliptic equations. Communications on Pure & Applied Analysis, 2011, 10 (6) : 17331745. doi: 10.3934/cpaa.2011.10.1733 
2020 Impact Factor: 1.392
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