Energy decay and blow-up of solutions for a viscoelastic equation with nonlocal nonlinear boundary dissipation

Journal of Mathematical Physics ◽

10.1063/5.0051570 ◽

2021 ◽

Vol 62 (6) ◽

pp. 061505

Author(s):

Donghao Li ◽

Hongwei Zhang ◽

Qingying Hu

Keyword(s):

Nonlinear Boundary ◽

Blow Up ◽

Energy Decay ◽

Viscoelastic Equation ◽

Boundary Dissipation ◽

Nonlocal Nonlinear

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Energy Decay in H 2 × L 2 for Semilinear Plates with Nonlinear Boundary Dissipation Acting via Moments Only

Applied Optimization - Optimal Control ◽

10.1007/978-1-4757-6095-8_11 ◽

1998 ◽

pp. 224-249 ◽

Author(s):

Guangcao Ji ◽

Irena Lasiecka

Keyword(s):

Nonlinear Boundary ◽

Energy Decay ◽

Boundary Dissipation

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Uniform energy decay for a wave equation with partially supported nonlinear boundary dissipation without growth restrictions

Discrete & Continuous Dynamical Systems - S ◽

10.3934/dcdss.2009.2.67 ◽

2009 ◽

Vol 2 (1) ◽

pp. 67-94 ◽

Author(s):

Moez Daoulatli ◽

◽

Irena Lasiecka ◽

Daniel Toundykov ◽

◽

...

Keyword(s):

Wave Equation ◽

Nonlinear Boundary ◽

Energy Decay ◽

Boundary Dissipation ◽

Growth Restrictions

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BLOW-UP FOR A SEMILINEAR PARABOLIC EQUATION WITH NONLINEAR MEMORY AND NONLOCAL NONLINEAR BOUNDARY

Taiwanese Journal of Mathematics ◽

10.11650/tjm.17.2013.2648 ◽

2013 ◽

Vol 17 (4) ◽

pp. 1353-1370 ◽

Author(s):

Dengming Liu ◽

Chunlai Mu ◽

Iftikhar Ahmed

Keyword(s):

Parabolic Equation ◽

Nonlinear Boundary ◽

Blow Up ◽

Semilinear Parabolic Equation ◽

Nonlinear Memory ◽

Semilinear Parabolic ◽

Nonlocal Nonlinear

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Blow-up for a localized singular parabolic equation with weighted nonlocal nonlinear boundary conditions

Annales Polonici Mathematici ◽

10.4064/ap114-2-7 ◽

2015 ◽

Vol 114 (2) ◽

pp. 179-196

Author(s):

Youpeng Chen ◽

Baozhu Zheng

Keyword(s):

Parabolic Equation ◽

Boundary Conditions ◽

Nonlinear Boundary ◽

Blow Up ◽

Nonlinear Boundary Conditions ◽

Singular Parabolic Equation ◽

Nonlocal Nonlinear

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General decay and blow-up of solutions for a viscoelastic equation with nonlinear boundary damping-source interactions

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-011-0151-2 ◽

2011 ◽

Vol 63 (1) ◽

pp. 65-106 ◽

Author(s):

Shun-Tang Wu

Keyword(s):

Nonlinear Boundary ◽

Blow Up ◽

General Decay ◽

Boundary Damping ◽

Viscoelastic Equation

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Blow up problems for a degenerate parabolic equation with nonlocal source and nonlocal nonlinear boundary condition

Boundary Value Problems ◽

10.1186/1687-2770-2012-45 ◽

2012 ◽

Vol 2012 (1) ◽

Author(s):

Guangsheng Zhong ◽

Lixin Tian

Keyword(s):

Boundary Condition ◽

Parabolic Equation ◽

Degenerate Parabolic Equation ◽

Nonlinear Boundary ◽

Nonlinear Boundary Condition ◽

Blow Up ◽

Nonlocal Source ◽

Degenerate Parabolic ◽

Nonlocal Nonlinear

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Blow-up analysis for a semilinear parabolic equation with nonlinear memory and nonlocal nonlinear boundary condition

Electronic journal of qualitative theory of differential equations ◽

10.14232/ejqtde.2010.1.51 ◽

2010 ◽

pp. 1-17 ◽

Author(s):

Dengming Liu ◽

Chunlai Mu

Keyword(s):

Boundary Condition ◽

Parabolic Equation ◽

Nonlinear Boundary ◽

Nonlinear Boundary Condition ◽

Blow Up ◽

Semilinear Parabolic Equation ◽

Nonlinear Memory ◽

Blow Up Analysis ◽

Semilinear Parabolic ◽

Nonlocal Nonlinear

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Blow up results and localization of blow up points for the heat equation with a nonlinear boundary condition

Journal of Differential Equations ◽

10.1016/0022-0396(91)90056-f ◽

1991 ◽

Vol 92 (2) ◽

pp. 384-401 ◽

Author(s):

Julián López Gómez ◽

Viviana Márquez ◽

Noemí Wolanski

Keyword(s):

Boundary Condition ◽

Heat Equation ◽

Nonlinear Boundary ◽

Nonlinear Boundary Condition ◽

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Localization of blow-up points for a parabolic system with a nonlinear boundary condition

Rendiconti del Circolo Matematico di Palermo (1952 -) ◽

10.1007/bf02844385 ◽

1999 ◽

Vol 48 (1) ◽

pp. 135-152

Author(s):

D. F. Rial ◽

J. D. Rossi

Keyword(s):

Boundary Condition ◽

Parabolic System ◽

Nonlinear Boundary ◽

Nonlinear Boundary Condition ◽

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Analysis on blow-up time of parabolic equation system with nonlinear boundary conditions

10.1109/ccdc52312.2021.9602189 ◽

2021 ◽

Author(s):

Zhang Xiaoyue ◽

Zhang Lingling

Keyword(s):

Parabolic Equation ◽

Boundary Conditions ◽

Nonlinear Boundary ◽

Blow Up ◽

Nonlinear Boundary Conditions ◽

Equation System

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