Carleman Inequalities for Wave Equations with Oscillatory Boundary Conditions and Application

2017 ◽  
Vol 55 (1) ◽  
pp. 324-364 ◽  
Author(s):  
Ciprian G. Gal ◽  
Louis Tebou
Keyword(s):  
Boundary Conditions ◽  
Wave Equations ◽  
Carleman Inequalities

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.

scholarly journals Some comments on electromagnetic oscillations in anisotropic cavities

2020 ◽  
Author(s):  
Luiz C L Botelho
Keyword(s):  
Boundary Conditions ◽  
Anisotropic Medium ◽  
Wave Equations ◽  
Mathematical Methods ◽  
Electromagnetic Oscillations

WE present several new studies on the mathematical methods formulation of the important problem of electromagnetic oscillations in cavities on anisotropic and axial anisotropic medium . This paper has appeared on Luiz.C.L.Botelho. . Some Comments on electromagnetic oscillations in anisotropic cavities -wave equations and boundary conditions Physics & Astronomy International Journal , v. 2, p. 562-565, 2018

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