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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 and 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 and 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 and 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 and 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 and 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 and 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 and 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 and Continuous Dynamical Systems, 2015, 35 (8) : 35853626. doi: 10.3934/dcds.2015.35.3585 
[9] 
Nadjat Doudi, Salah Boulaaras, Nadia Mezouar, Rashid Jan. Global existence, general decay and blowup for a nonlinear wave equation with logarithmic source term and fractional boundary dissipation. Discrete and Continuous Dynamical Systems  S, 2022 doi: 10.3934/dcdss.2022106 
[10] 
Júlia Matos. Unfocused blow up solutions of semilinear parabolic equations. Discrete and Continuous Dynamical Systems, 1999, 5 (4) : 905928. doi: 10.3934/dcds.1999.5.905 
[11] 
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 and Continuous Dynamical Systems  S, 2021, 14 (12) : 43374366. doi: 10.3934/dcdss.2021121 
[12] 
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 
[13] 
Hua Chen, Huiyang Xu. Global existence and blowup of solutions for infinitely degenerate semilinear pseudoparabolic equations with logarithmic nonlinearity. Discrete and Continuous Dynamical Systems, 2019, 39 (2) : 11851203. doi: 10.3934/dcds.2019051 
[14] 
Akmel Dé Godefroy. Existence, decay and blowup for solutions to the sixthorder generalized Boussinesq equation. Discrete and Continuous Dynamical Systems, 2015, 35 (1) : 117137. doi: 10.3934/dcds.2015.35.117 
[15] 
Yuta Wakasugi. Blowup of solutions to the onedimensional semilinear wave equation with damping depending on time and space variables. Discrete and Continuous Dynamical Systems, 2014, 34 (9) : 38313846. doi: 10.3934/dcds.2014.34.3831 
[16] 
Keng Deng, Zhihua Dong. Blowup for the heat equation with a general memory boundary condition. Communications on Pure and Applied Analysis, 2012, 11 (5) : 21472156. doi: 10.3934/cpaa.2012.11.2147 
[17] 
Yohei Fujishima. Blowup set for a superlinear heat equation and pointedness of the initial data. Discrete and Continuous Dynamical Systems, 2014, 34 (11) : 46174645. doi: 10.3934/dcds.2014.34.4617 
[18] 
Takiko Sasaki. Convergence of a blowup curve for a semilinear wave equation. Discrete and Continuous Dynamical Systems  S, 2021, 14 (3) : 11331143. doi: 10.3934/dcdss.2020388 
[19] 
Peter Poláčik, Pavol Quittner. Entire and ancient solutions of a supercritical semilinear heat equation. Discrete and Continuous Dynamical Systems, 2021, 41 (1) : 413438. doi: 10.3934/dcds.2020136 
[20] 
Juliana Fernandes, Liliane Maia. Blowup and bounded solutions for a semilinear parabolic problem in a saturable medium. Discrete and Continuous Dynamical Systems, 2021, 41 (3) : 12971318. doi: 10.3934/dcds.2020318 
2021 Impact Factor: 1.588
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