AbstractOf concern are solutions of the classical wave equation in three-dimensions. It is shown that if a solution has compact support then after a finite time the kinetic energy of the wave is constant and equals the potential energy. The proof employs the Paley-Wiener theorem of Fourier analysis
We study the persistence of the Gevrey class regularity of solutions to nonlinear wave equations wit...
We prove that Huygens' principle and the principle of equipartition of energy hold for the modified...
Abstract. We study the persistence of the Gevrey class regularity of solutions to nonlinear wave equ...
AbstractOf concern are solutions of the classical wave equation in three-dimensions. It is shown tha...
AbstractLet u be a classical solution to the wave equation in an odd number n of space dimensions, w...
AbstractIt is shown that the L2 norm of a solution to the wave equation is eventually constant provi...
AbstractLet u be a classical solution to the wave equation in an odd number n of space dimensions, w...
AbstractAn energy conserving wave which is initially confined in a sphere of finite radius is propag...
Consider wave equations of the form u (t) + A2u(t) = 0 with A an injective selfadjoint operator on a...
The focus of this thesis is to show how methods of Fourier analysis, in particular Parseval’s equali...
The kinetic and potential energies for the damped wave equations u'' + 2Bu' + A^2u=0 (DWE) are defin...
The kinetic and potential energies for the damped wave equations u'' + 2Bu' + A^2u=0 (DWE) are defin...
AbstractIt is shown that the L2 norm of a solution to the wave equation is eventually constant provi...
The quadratic nonlinear wave equation on a one-dimensional torus with small initial values located i...
After all of these developments it is nice to keep in mind the idea that the wave equation describes...
We study the persistence of the Gevrey class regularity of solutions to nonlinear wave equations wit...
We prove that Huygens' principle and the principle of equipartition of energy hold for the modified...
Abstract. We study the persistence of the Gevrey class regularity of solutions to nonlinear wave equ...
AbstractOf concern are solutions of the classical wave equation in three-dimensions. It is shown tha...
AbstractLet u be a classical solution to the wave equation in an odd number n of space dimensions, w...
AbstractIt is shown that the L2 norm of a solution to the wave equation is eventually constant provi...
AbstractLet u be a classical solution to the wave equation in an odd number n of space dimensions, w...
AbstractAn energy conserving wave which is initially confined in a sphere of finite radius is propag...
Consider wave equations of the form u (t) + A2u(t) = 0 with A an injective selfadjoint operator on a...
The focus of this thesis is to show how methods of Fourier analysis, in particular Parseval’s equali...
The kinetic and potential energies for the damped wave equations u'' + 2Bu' + A^2u=0 (DWE) are defin...
The kinetic and potential energies for the damped wave equations u'' + 2Bu' + A^2u=0 (DWE) are defin...
AbstractIt is shown that the L2 norm of a solution to the wave equation is eventually constant provi...
The quadratic nonlinear wave equation on a one-dimensional torus with small initial values located i...
After all of these developments it is nice to keep in mind the idea that the wave equation describes...
We study the persistence of the Gevrey class regularity of solutions to nonlinear wave equations wit...
We prove that Huygens' principle and the principle of equipartition of energy hold for the modified...
Abstract. We study the persistence of the Gevrey class regularity of solutions to nonlinear wave equ...
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