29 citations · 35 across the 5 of their papers we have counts for
7 papers · 1 filter
Stability of the Catenoid for the Hyperbolic Vanishing Mean Curvature Equation Outside Symmetry
Jonas Luhrmann, Sung-Jin Oh, Sohrab Shahshahani
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…
The wave maps equation and Brownian paths
Bjoern Bringmann, Jonas Luhrmann, Gigliola Staffilani
We discuss the -dimensional wave maps equation with values in a compact Riemannian manifold . Motivated by the Gibbs measure problem, we consider Brownian paths…
Probabilistic small data global well-posedness of the energy-critical Maxwell-Klein-Gordon equation
Joachim Krieger, Jonas Luhrmann, Gigliola Staffilani
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 ini…
Asymptotics for 1D Klein-Gordon equations with variable coefficient quadratic nonlinearities
Hans Lindblad, Jonas Luhrmann, Avy Soffer
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…
Almost sure scattering for the 4D energy-critical defocusing nonlinear wave equation with radial data
Benjamin Dodson, Jonas Luhrmann, Dana Mendelson
We consider the energy-critical defocusing nonlinear wave equation on and establish almost sure global existence and scattering for randomized radially symmetric ini…
Concentration Compactness for Critical Radial Wave Maps
Elisabetta Chiodaroli, Joachim Krieger, Jonas Luhrmann
We consider radially symmetric, energy critical wave maps from (1 + 2)-dimensional Minkowski space into the unit sphere , , and prove global regularity and…
Concentration Compactness for the Critical Maxwell-Klein-Gordon Equation
Joachim Krieger, Jonas Luhrmann
We prove global regularity, scattering and a priori bounds for the energy critical Maxwell-Klein-Gordon equation relative to the Coulomb gauge on (1+4)-dimensional Minkowski space.…