WebBlowup for Biharmonic NLS Boulenger, Thomasand Lenzmann, Enno. Preprints Fachbereich Mathematik, 2015 (17). PDF- Published Version 1055Kb Official URL: … WebIn the mass-critical case a = 4/d, we prove a general blowup result in finite or infinite time for radial data in H-2 (R-d). As a key ingredient, we utilize the time evolution of a …
(PDF) Strong Instability of Ground States to a Fourth
WebNov 21, 2024 · It is proved that the blowup rate is bounded by a quartic-root, the solution approaches a quasi–self-similar profile, and a finite amount of $L^2$-norm, which is no less than the critical power, concentrates into the singularity. 35 PDF Some remarks on the inhomogeneous biharmonic NLS equation Carlos M. Guzm'an, A. Pastor Mathematics WebSep 29, 2015 · Profile decompositions and Blowup phenomena of mass critical fractional Schr\"odinger equations. We study, under the radial symmetry assumption, the solutions to the fractional Schr\"odinger equations of critical nonlinearity in $\mathbb R^ {1+d}, d \geq 2$, with L\' {e}vy index $ {2d}/ ( {2d-1}) <…. Expand. free color online ball sort game
Biharmonic nonlinear Schrödinger equation and the
WebJul 2, 2013 · The study of biharmonic (fourth-order) nonlinear Schrödinger equations (NLS) has attracted a significant amount of attention in the recent past; see e. g. [17,1,12,19,20, 21, 6,3,5,4,10]. The ... Websingular solutions of the supercritical biharmonic NLS. These solutions have a quartic-root blowup rate, and collapse with a quasi self-similar universal profile, which is a ... than that for the critical NLS. Indeed, a rigorous proof of the blowup rate and blowup profile of the supercritical NLS was obtained very recently, and only in the ... WebMay 17, 2024 · Blowup of cylindrically symmetric solutions for biharmonic NLS Tian-Xiang Gou Published 17 May 2024 Mathematics A BSTRACT . In this paper, we consider … free color matching game