Zobrazeno 1 - 10
of 1 149
pro vyhledávání: '"Luhrmann A"'
Autor:
Li, Yongming, Luhrmann, Jonas
We establish the full asymptotic stability of solitary waves for the focusing cubic Schr\"odinger equation on the line under small even perturbations in weighted Sobolev norms. The strategy of our proof combines a space-time resonances approach based
Externí odkaz:
http://arxiv.org/abs/2408.15427
Autor:
Luhrmann, Jonas, Schlag, Wilhelm
We consider the codimension one asymptotic stability problem for the soliton of the focusing cubic Klein-Gordon equation on the line under even perturbations. The main obstruction to full asymptotic stability on the center-stable manifold is a small
Externí odkaz:
http://arxiv.org/abs/2302.05273
We study the problem of stability of the catenoid, which is an asymptotically flat rotationally symmetric minimal surface in Euclidean space, viewed as a stationary solution to the hyperbolic vanishing mean curvature equation in Minkowski space. The
Externí odkaz:
http://arxiv.org/abs/2212.05620
Autor:
Li, Yongming, Luhrmann, Jonas
We establish the conditional asymptotic stability in a local energy norm of the unstable soliton for the one-dimensional quadratic Klein-Gordon equation under even perturbations. A key feature of the problem is the positive gap eigenvalue exhibited b
Externí odkaz:
http://arxiv.org/abs/2203.11371
We discuss the $(1+1)$-dimensional wave maps equation with values in a compact Riemannian manifold $\mathcal{M}$. Motivated by the Gibbs measure problem, we consider Brownian paths on the manifold $\mathcal{M}$ as initial data. Our main theorem is th
Externí odkaz:
http://arxiv.org/abs/2111.07381
Autor:
Luhrmann, Jonas, Schlag, Wilhelm
We establish the asymptotic stability of the sine-Gordon kink under odd perturbations that are sufficiently small in a weighted Sobolev norm. Our approach is perturbative and does not rely on the complete integrability of the sine-Gordon model. Key e
Externí odkaz:
http://arxiv.org/abs/2106.09605
We consider the asymptotic behavior of small global-in-time solutions to a 1D Klein-Gordon equation with a spatially localized, variable coefficient quadratic nonlinearity and a non-generic linear potential. The purpose of this work is to continue th
Externí odkaz:
http://arxiv.org/abs/2012.15191
Autor:
Lebovitz, Julia G.1,2, Luhrmann, Tanya M.1,3, AhnAllen, Christopher G.2,4 cahnallen@bwh.harvard.edu
Publikováno v:
Culture, Medicine & Psychiatry. Mar2024, Vol. 48 Issue 1, p158-176. 19p.
We establish probabilistic small data global well-posedness of the energy-critical Maxwell-Klein-Gordon equation relative to the Coulomb gauge for scaling super-critical random initial data. The proof relies on an induction on frequency procedure and
Externí odkaz:
http://arxiv.org/abs/2010.09528
We initiate the study of the asymptotic behavior of small solutions to one-dimensional Klein-Gordon equations with variable coefficient quadratic nonlinearities. The main discovery in this work is a striking resonant interaction between specific spat
Externí odkaz:
http://arxiv.org/abs/2006.00938