Uniform stabilization of semilinear wave equations with localized internal damping and dynamic Wentzell boundary conditions with a memory term

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-019-1204-1 ◽

2019 ◽

Vol 70 (6) ◽

Author(s):

Zhifei Zhang ◽

Dandan Guo

Keyword(s):

Boundary Conditions ◽

Wave Equations ◽

Memory Term ◽

Internal Damping ◽

Uniform Stabilization ◽

Semilinear Wave Equations ◽

Wentzell Boundary Conditions

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A solution to an open problem for wave equations with generalized Wentzell boundary conditions

Mathematische Annalen ◽

10.1007/s00208-003-0457-2 ◽

2003 ◽

Vol 327 (2) ◽

pp. 351-363 ◽

Author(s):

Ti-Jun Xiao ◽

Jin Liang

Keyword(s):

Boundary Conditions ◽

Open Problem ◽

Wave Equations ◽

Wentzell Boundary Conditions

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Correction to: An implicit–explicit time discretization scheme for second-order semilinear wave equations with application to dynamic boundary conditions

Numerische Mathematik ◽

10.1007/s00211-021-01190-y ◽

2021 ◽

Vol 147 (4) ◽

pp. 901-901

Author(s):

Marlis Hochbruck ◽

Jan Leibold

Keyword(s):

Boundary Conditions ◽

Wave Equations ◽

Time Discretization ◽

Second Order ◽

Discretization Scheme ◽

Dynamic Boundary Conditions ◽

Semilinear Wave Equations ◽

Dynamic Boundary

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Asymptotic behaviours of solutions for wave equations with damped Wentzell boundary conditions but no interior damping

Journal of Differential Equations ◽

10.1016/j.jde.2020.08.018 ◽

2021 ◽

Vol 271 ◽

pp. 76-106

Author(s):

Chan Li ◽

Jin Liang ◽

Ti-Jun Xiao

Keyword(s):

Boundary Conditions ◽

Wave Equations ◽

Wentzell Boundary Conditions ◽

Asymptotic Behaviours

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Geometrically constrained stabilization of wave equations with Wentzell boundary conditions

Applicable Analysis ◽

10.1080/00036811.2011.647910 ◽

2012 ◽

Vol 91 (8) ◽

pp. 1427-1452 ◽

Author(s):

Marcelo M. Cavalcanti ◽

Irena Lasiecka ◽

Daniel Toundykov

Keyword(s):

Boundary Conditions ◽

Wave Equations ◽

Wentzell Boundary Conditions ◽

Geometrically Constrained

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Dynamical behaviors of solutions to nonlinear wave equations with vanishing local damping and Wentzell boundary conditions

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-018-0996-8 ◽

2018 ◽

Vol 69 (4) ◽

Author(s):

Chan Li ◽

Jin Liang ◽

Ti-Jun Xiao

Keyword(s):

Boundary Conditions ◽

Nonlinear Wave ◽

Wave Equations ◽

Nonlinear Wave Equations ◽

Wentzell Boundary Conditions ◽

Dynamical Behaviors

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Decay rates for semilinear wave equations with vanishing damping and Neumann boundary conditions

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.6733 ◽

2020 ◽

Vol 44 (1) ◽

pp. 303-314

Author(s):

Jun‐Ren Luo ◽

Ti‐Jun Xiao

Keyword(s):

Boundary Conditions ◽

Wave Equations ◽

Neumann Boundary ◽

Decay Rates ◽

Neumann Boundary Conditions ◽

Semilinear Wave Equations

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Asymptotics for 2‐D wave equations with Wentzell boundary conditions in the square

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.6729 ◽

2020 ◽

Vol 44 (1) ◽

pp. 265-273

Author(s):

Chan Li ◽

Kun‐Peng Jin

Keyword(s):

Boundary Conditions ◽

Wave Equations ◽

Wentzell Boundary Conditions ◽

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The blow-up curve of solutions for semilinear wave equations with Dirichlet boundary conditions in one space dimension

The Role of Metrics in the Theory of Partial Differential Equations ◽

10.2969/aspm/08510359 ◽

2020 ◽

Author(s):

Tetsuya Ishiwata ◽

Takiko Sasaki

Keyword(s):

Boundary Conditions ◽

Wave Equations ◽

Space Dimension ◽

Dirichlet Boundary ◽

Blow Up ◽

Dirichlet Boundary Conditions ◽

Semilinear Wave Equations ◽

One Space Dimension

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Asymptotics for wave equations with Wentzell boundary conditions and boundary damping

Semigroup Forum ◽

10.1007/s00233-016-9779-8 ◽

2016 ◽

Vol 94 (3) ◽

pp. 520-531 ◽

Author(s):

Chan Li ◽

Ti-Jun Xiao

Keyword(s):

Boundary Conditions ◽

Wave Equations ◽

Boundary Damping ◽

Wentzell Boundary Conditions

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Optimal decay rates for semilinear wave equations with memory and Neumann boundary conditions

Applicable Analysis ◽

10.1080/00036811.2017.1377834 ◽

2017 ◽

Vol 97 (15) ◽

pp. 2594-2609 ◽

Author(s):

Ti-Jun Xiao ◽

Hui Zhang

Keyword(s):

Boundary Conditions ◽

Wave Equations ◽

Neumann Boundary ◽

Decay Rates ◽

Neumann Boundary Conditions ◽

Semilinear Wave Equations ◽

Optimal Decay Rates ◽

Optimal Decay ◽

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