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Applicable Analysis
An International Journal
Volume 91, 2012 - Issue 3
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Original Articles

Global existence and blow-up of solutions for a strongly damped Petrovsky system with nonlinear damping

Gang Li College of Mathematics and Physics, Nanjing University of Information Science and Technology, Nanjing 210044, China
,
Yanan Sun College of Mathematics and Physics, Nanjing University of Information Science and Technology, Nanjing 210044, China
&
Wenjun Liu College of Mathematics and Physics, Nanjing University of Information Science and Technology, Nanjing 210044, ChinaCorrespondence[email protected]
Pages 575-586 | Received 10 May 2010, Accepted 19 Dec 2010, Published online: 09 Mar 2011

Citations (17)

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Read on this site (3)

Yue Pang & Yufeng Yin. (2023) Global well-posedness of fourth-order Petrovsky equation with weak and strong damping terms. Applicable Analysis 102:16, pages 4581-4594.
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Abita Rahmoune. (2023) Lower and upper bounds for the blow-up time to a viscoelastic Petrovsky wave equation with variable sources and memory term. Applicable Analysis 102:12, pages 3503-3531.
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Wenjun Liu, Biqing Zhu & Gang Li. (2020) Upper and lower bounds for the blow-up time for a viscoelastic wave equation with dynamic boundary conditions. Quaestiones Mathematicae 43:8, pages 999-1017.
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Articles from other publishers (14)

Xiatong Li & Zhong Bo Fang. (2023) Blow-up phenomena for a damped plate equation with logarithmic nonlinearity. Nonlinear Analysis: Real World Applications 71, pages 103823.
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Menglan Liao & Qingwei Li. (2023) Blow-Up of Solutions to the Fourth-Order Equation with Variable-Exponent Nonlinear Weak Damping. Mediterranean Journal of Mathematics 20:3.
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Mosbah Kaddour & Farid Messelmi. (2023) Global existence and blow-up of a Petrovsky equation with general nonlinear dissipative and source terms. Studia Universitatis Babes-Bolyai Matematica 68:1, pages 213-234.
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Menglan Liao & Zhong Tan. (2022) Behavior of solutions to a Petrovsky equation with damping and variable-exponent sources. Science China Mathematics 66:2, pages 285-302.
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Antontsev Antontsev, Jorge Ferreira & Erhan Piskin. (2021) Existence and blow up of solutions for a strongly damped Petrovsky equation with variable-exponent nonlinearities. Electronic Journal of Differential Equations 2021:01-104, pages 06.
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Jiali Yu, Yadong Shang & Huafei Di. (2020) On decay and blow-up of solutions for a nonlinear Petrovsky system with conical degeneration. Boundary Value Problems 2020:1.
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A. Peyravi & F. Tahamtani. (2019) Polynomial-exponential stability and blow-up solutions to a nonlinear damped viscoelastic Petrovsky equation. SeMA Journal 77:2, pages 181-201.
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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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Erhan Piskin & Turgay Uysal. (2018) Blow up of the solutions for the Petrovsky equation with fractional damping terms. Malaya Journal of Matematik 06:01, pages 85-90.
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Erhan Pişkin & Necat Polat. Blow up of positive initial-energy solutions for a coupled nonlinear higher-order hyperbolic equations. Blow up of positive initial-energy solutions for a coupled nonlinear higher-order hyperbolic equations.
Gang Li, Yun Sun & Wenjun Liu. (2013) On Asymptotic Behavior and Blow-Up of Solutions for a Nonlinear Viscoelastic Petrovsky Equation with Positive Initial Energy. Journal of Function Spaces and Applications 2013, pages 1-7.
Crossref
Jun Zhou, Xiongrui Wang, Xiaojun Song & Chunlai Mu. (2011) Global existence and blowup of solutions for a class of nonlinear higher-order wave equations. Zeitschrift für angewandte Mathematik und Physik 63:3, pages 461-473.
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Xiaopan Liu. (2012) On Existence, Uniform Decay Rates, and Blow-Up for Solutions of a Nonlinear Wave Equation with Dissipative and Source. Abstract and Applied Analysis 2012, pages 1-27.
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Xiuli Lin & Fushan Li. (2012) Asymptotic Energy Estimates for Nonlinear Petrovsky Plate Model Subject to Viscoelastic Damping. Abstract and Applied Analysis 2012, pages 1-25.
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