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Nonexistence and behaviour at infinity of solutions of some elliptic equations
Qualitative analysis of a nonlinear wave equation
1.  Departamento de Ciencias Básicas, Análisis Matemático y sus Aplicaciones, UAMAzcapotzalco, Av. San Pablo 180, Col. Reynosa Tamaulipas, México , D. F., 02200, Mexico 
[1] 
Jun Zhou. Global existence and energy decay estimate of solutions for a class of nonlinear higherorder wave equation with general nonlinear dissipation and source term. Discrete & Continuous Dynamical Systems  S, 2017, 10 (5) : 11751185. doi: 10.3934/dcdss.2017064 
[2] 
Gongwei Liu. The existence, general decay and blowup for a plate equation with nonlinear damping and a logarithmic source term. Electronic Research Archive, 2020, 28 (1) : 263289. doi: 10.3934/era.2020016 
[3] 
Claudianor O. Alves, M. M. Cavalcanti, Valeria N. Domingos Cavalcanti, Mohammad A. Rammaha, Daniel Toundykov. On existence, uniform decay rates and blow up for solutions of systems of nonlinear wave equations with damping and source terms. Discrete & Continuous Dynamical Systems  S, 2009, 2 (3) : 583608. doi: 10.3934/dcdss.2009.2.583 
[4] 
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 
[5] 
István Győri, Yukihiko Nakata, Gergely Röst. Unbounded and blowup solutions for a delay logistic equation with positive feedback. Communications on Pure & Applied Analysis, 2018, 17 (6) : 28452854. doi: 10.3934/cpaa.2018134 
[6] 
Marek Fila, Hiroshi Matano. Connecting equilibria by blowup solutions. Discrete & Continuous Dynamical Systems, 2000, 6 (1) : 155164. doi: 10.3934/dcds.2000.6.155 
[7] 
Vo Anh Khoa, Le Thi Phuong Ngoc, Nguyen Thanh Long. Existence, blowup and exponential decay of solutions for a porouselastic system with damping and source terms. Evolution Equations & Control Theory, 2019, 8 (2) : 359395. doi: 10.3934/eect.2019019 
[8] 
Masahiro Ikeda, Ziheng Tu, Kyouhei Wakasa. Small data blowup of semilinear wave equation with scattering dissipation and timedependent mass. Evolution Equations & Control Theory, 2021 doi: 10.3934/eect.2021011 
[9] 
Nguyen Thanh Long, Hoang Hai Ha, Le Thi Phuong Ngoc, Nguyen Anh Triet. Existence, blowup and exponential decay estimates for a system of nonlinear viscoelastic wave equations with nonlinear boundary conditions. Communications on Pure & Applied Analysis, 2020, 19 (1) : 455492. doi: 10.3934/cpaa.2020023 
[10] 
Bouthaina Abdelhedi, Hatem Zaag. Single point blowup and final profile for a perturbed nonlinear heat equation with a gradient and a nonlocal term. Discrete & Continuous Dynamical Systems  S, 2021 doi: 10.3934/dcdss.2021032 
[11] 
Evgeny Galakhov, Olga Salieva. Blowup for nonlinear inequalities with gradient terms and singularities on unbounded sets. Conference Publications, 2015, 2015 (special) : 489494. doi: 10.3934/proc.2015.0489 
[12] 
Shouming Zhou, Chunlai Mu, Liangchen Wang. Wellposedness, blowup phenomena and global existence for the generalized $b$equation with higherorder nonlinearities and weak dissipation. Discrete & Continuous Dynamical Systems, 2014, 34 (2) : 843867. doi: 10.3934/dcds.2014.34.843 
[13] 
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 
[14] 
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 
[15] 
Marius Ghergu, Vicenţiu Rădulescu. Nonradial blowup solutions of sublinear elliptic equations with gradient term. Communications on Pure & Applied Analysis, 2004, 3 (3) : 465474. doi: 10.3934/cpaa.2004.3.465 
[16] 
Hayato Miyazaki. Strong blowup instability for standing wave solutions to the system of the quadratic nonlinear KleinGordon equations. Discrete & Continuous Dynamical Systems, 2021, 41 (5) : 24112445. doi: 10.3934/dcds.2020370 
[17] 
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 
[18] 
Min Li, Zhaoyang Yin. Blowup phenomena and travelling wave solutions to the periodic integrable dispersive HunterSaxton equation. Discrete & Continuous Dynamical Systems, 2017, 37 (12) : 64716485. doi: 10.3934/dcds.2017280 
[19] 
Jianbo Cui, Jialin Hong, Liying Sun. On global existence and blowup for damped stochastic nonlinear Schrödinger equation. Discrete & Continuous Dynamical Systems  B, 2019, 24 (12) : 68376854. doi: 10.3934/dcdsb.2019169 
[20] 
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 
2019 Impact Factor: 1.338
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