Tags
Language
Tags
<<
June 2025
Su Mo Tu We Th Fr Sa
1 2 3 4 5 6 7
8 9 10 11 12 13 14
15 16 17 18 19 20 21
22 23 24 25 26 27 28
29 30 1 2 3 4 5
    Attention❗ To save your time, in order to download anything on this site, you must be registered 👉 HERE. If you do not have a registration yet, it is better to do it right away. ✌

    ( • )( • ) ( ͡⚆ ͜ʖ ͡⚆ ) (‿ˠ‿)
    SpicyMags.xyz
    1. Home
    2. eBooks & eLearning
    3. A Vector Field Method on the Distorted Fourier Side and Decay for Wave Equations With Potentials

    A Vector Field Method on the Distorted Fourier Side and Decay for Wave Equations With Potentials

    Posted By: Jeembo
    Date: 25 Mar 2018 16:04:36
    A Vector Field Method on the Distorted Fourier Side and Decay for Wave Equations With Potentials

    A Vector Field Method on the Distorted Fourier Side and Decay for Wave Equations With Potentials by Roland Donninger, Joachim Krieger
    English | 2016 | ISBN: 1470418738 | 80 Pages | PDF | 1.1 MB

    The authors study the Cauchy problem for the one-dimensional wave equation â 2 t u (t , x) â â 2 x u (t , x) V (x)u (t , x) = 0. The potential V is assumed to be smooth with asymptotic behavior V (x) ~ â 1 4 |x|â 2 as |x| â â . They derive dispersive estimates, energy estimates, and estimates involving the scaling vector field t â t xâ x , where the latter are obtained by employing a vector field method on the "distorted" Fourier side. In addition, they prove local energy decay estimates. Their results have immediate applications in the context of geometric evolution problems. The theory developed in this paper is funda-mental for the proof of the co-dimension 1 stability of the catenoid under the vanishing mean curvature flow in Minkowski space.
    UPWARDS