Results 51 to 60 of about 1,078 (81)

Weighted L^p decay estimates of solutions to the wave equation with a potential [PDF]

arXiv, 2004
We obtain large time decay estimates on weighted $L^p$ spaces for solutions to the wave equation with real-valued potential $V(x)=O(|x|^{-2-a})$, $a>0$, for $|x|>1$.
arxiv  

Global well-posedness of the radial conformal nonlinear wave equation with initial data in a critical space [PDF]

arXiv, 2022
In this note we prove global well-posedness and scattering for the conformal, defocusing, nonlinear wave equation with radial initial data in a critical Besov space. We also prove a polynomial bound on the scattering norm.
arxiv  

Dynamics for wave equations connected in parallel with nonlinear localized damping

Advances in Nonlinear Analysis
This study investigates the properties of solutions about one-dimensional wave equations connected in parallel under the effect of two nonlinear localized frictional damping mechanisms.
Gao Yunlong, Sun Chunyou, Zhang Kaibin
doaj   +1 more source

Global Regularity for the Yang-Mills Equations on High Dimensional Minkowski Space [PDF]

arXiv, 2005
We prove that smallness of the critical Sobolev norm implies regularity for the Yang-Mills equations on (6+1) and higher dimensional Minkowski space.
arxiv  

Absence of global solutions to wave equations with structural damping and nonlinear memory

Demonstratio Mathematica
We prove the nonexistence of global solutions for the following wave equations with structural damping and nonlinear memory source term utt+(−Δ)α2u+(−Δ)β2ut=∫0t(t−s)δ−1∣u(s)∣pds{u}_{tt}+{\left(-\Delta )}^{\tfrac{\alpha }{2}}u+{\left(-\Delta )}^{\tfrac ...
Kirane Mokhtar, Nabti Abderrazak, Jlali Lotfi   +2 more
doaj   +1 more source

Weighted Decay Estimates for the Wave Equation with Radially Symmetric Data [PDF]

arXiv, 2005
We study the homogeneous wave equation with radially symmetric data in four or higher space dimensions. Using some new integral representations for the Riemann operator, we establish weighted decay estimates for the solution.
arxiv  

On the Dirichlet problem of Landau-Lifshitz-Maxwell equations [PDF]

arXiv, 2006
We prove the existence and uniqueness of non-trivial stable solutions to Landau-Lifshitz-Maxwell equations with Dirichlet boundary condition for large anisotropies and small domains, where the domains are non-simply connected.
arxiv  

On the stabilization of the elasticity system by the boundary [PDF]

arXiv, 2007
We obtain free of resonances regions for the elasticity system in the exterior of a strictly convex body with dissipative boundary conditions under some natural assumptions on the behaviour of the geodesics on the boundary.
arxiv  

$L^p-L^q$ estimates on the solutions to $u_{tt}-u_{x_1x_1}=\triangle u_t$ [PDF]

arXiv, 2008
This paper focuses the study on the $L^p-L^q$ estimates on the solutions to an asymmetric wave equation with dissipation which arises in the study for the magneto-hydrodynamics by using the method of Green function.
arxiv  

Periodic solutions for a coupled system of wave equations with x-dependent coefficients

Advanced Nonlinear Studies
This paper is concerned with the periodic solutions for a coupled system of wave equations with x-dependent coefficients. Such a model arises naturally when two waves propagate simultaneously in the nonisotrpic media.
Deng Jiayu, Ji Shuguan
doaj   +1 more source