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Applicable Analysis
An International Journal
Volume 95, 2016 - Issue 4
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Articles

Sign-preserving functionals and blow-up to Klein–Gordon equation with arbitrary high energy

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Pages 860-873 | Received 13 Nov 2014, Accepted 06 Apr 2015, Published online: 08 May 2015

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Yan Cui & Bo Xia. (2023) Criteria for finite time blow up for a system of Klein–Gordon equations. Applicable Analysis 0:0, pages 1-28.
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Yongbing Luo & Md Salik Ahmed. (2021) Cauchy problem of nonlinear Klein–Gordon equations with general nonlinearities. Rendiconti del Circolo Matematico di Palermo Series 2 71:3, pages 959-973.
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J. V. Kalantarova & V. K. Kalantarov. (2022) Blow-Up of Solutions of Coupled Parabolic Systems and Hyperbolic Equations. Mathematical Notes 112:3-4, pages 406-411.
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Джамиля Калантарова, Jamila Kalantarova, Варга К Калантаров & Varga K Kalantarov. (2022) О разрушении решений связанных систем параболических и гиперболических уравненийBlow-Up of Solutions of Coupled Parabolic Systems and Hyperbolic Equations. Математические заметки Matematicheskie Zametki 112:3, pages 391-397.
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M. Dimova, N. Kolkovska & N. Kutev. (2020) Global behavior of the solutions to nonlinear Klein-Gordon equation with supercritical energy. Journal of Mathematical Analysis and Applications 487:2, pages 124029.
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Milena Dimova, Natalia Kolkovska & Nikolai Kutev. (2020) Global behavior of the solutions to nonlinear Klein-Gordon equation with critical initial energy. Electronic Research Archive 28:2, pages 671-689.
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Lishan Liu, Fenglong Sun & Yonghong Wu. (2019) Blow-up of solutions for a nonlinear Petrovsky type equation with initial data at arbitrary high energy level. Boundary Value Problems 2019:1.
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Jorge A. Esquivel-Avila. (2018) On nonexistence of global solutions of a quasilinear riser equation. Advances in Pure and Applied Mathematics 9:3, pages 195-203.
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Yongbing Luo, Yanbing Yang, Md Salik Ahmed, Tao Yu, Mingyou Zhang, Ligang Wang & Huichao Xu. (2018) Global existence and blow up of the solution for nonlinear Klein–Gordon equation with general power-type nonlinearities at three initial energy levels. Applied Numerical Mathematics.
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Jorge A. Esquivel-Avila. (2018) Remarks on the qualitative behavior of the undamped Klein-Gordon equation. Mathematical Methods in the Applied Sciences 41:1, pages 103-111.
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Jorge A Esquivel-Avila. (2017) Nonexistence of global solutions of abstract wave equations with high energies. Journal of Inequalities and Applications 2017:1.
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N. Kolkovska, M. Dimova & N. Kutev. Generalized Nehari functionals and finite time blow up of the solutions to Boussinesq equation. Generalized Nehari functionals and finite time blow up of the solutions to Boussinesq equation.
Hatice Taskesen & Necat Polat. Existence results for a nonlinear Timoshenko equation with high initial energy. Existence results for a nonlinear Timoshenko equation with high initial energy.

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