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

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 ◽  
With Memory

Trend to spatial homogeneity for solutions to semilinear damped wave equations

1987 ◽  
Vol 105 (1) ◽  
pp. 117-126 ◽  
Author(s):  
J. Solà-Morales ◽  
M. València
Keyword(s):  
Boundary Conditions ◽  
Wave Equations ◽  
Lipschitz Constant ◽  
Neumann Boundary ◽  
Neumann Boundary Conditions ◽  
Spatial Homogeneity ◽  
Homogeneous Solutions ◽  
Spatially Homogeneous ◽  
Image Position

SynopsisThe semilinear damped wave equationssubject to homogeneous Neumann boundary conditions, admit spatially homogeneous solutions (i.e. u(x, t) = u(t)). In order that every solution tends to a spatially homogeneous one, we look for conditions on the coefficients a and d, and on the Lipschitz constant of f with respect to u.

An energy-preserving algorithm for nonlinear Hamiltonian wave equations with Neumann boundary conditions

CALCOLO ◽  
2017 ◽  
Vol 54 (4) ◽  
pp. 1379-1402 ◽  
Author(s):  
Wei Shi ◽  
Kai Liu ◽  
Xinyuan Wu ◽  
Changying Liu
Keyword(s):  
Boundary Conditions ◽  
Wave Equations ◽  
Neumann Boundary ◽  
Neumann Boundary Conditions
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