Add to ORKGAbstract. We consider the wave maps equation with values into a Riemannian manifold which is isometrically embedded in Rm. Our main result asserts that the Cauchy problem is globally well-posed for initial data which is small in the critical Sobolev spaces. This extends and completes recent work of Tao and other authors. 1
Herr S, Lamm T, Schmid T, Schnaubelt R. Biharmonic wave maps: Local wellposedness in high regularity...
Brzezniak Z, Goldys B, Ondrejat M, Rana N. Large deviations for (1+1)-dimensional stochastic geometr...
Let M be a compact Riemannian homogeneous space (e.g. a Euclidean sphere). We prove existence of a g...
Abstract. We consider the wave maps equation with values into a Riemannian manifold which is isometr...
We establish global well-posedness and scattering for wave maps from d-dimensional hyperbolic space ...
Abstract. We show that the wave map equation in R1+1 is in general ill posed in the critical space ˙...
In this article we initiate the study of 1+ 2 dimensional wave maps on a curved spacetime in the low...
We consider wave equations on Lorentzian manifolds in case of low regularity. We first extend the cl...
Abstract. We obtain a sharp local well-posedness result for an equation of wave maps type with varia...
A class of weak wave map solutions with initial data in Sobolev space of order s < 1 is studied. ...
We construct a gauge theoretic change of variables for the wave map from R × Rn into a compact group...
Abstract. We introduce a notion of wave maps with target in the sub-Riemannian Heisenberg group and ...
We consider a inhomogeneous semilinear wave equation on a noncompact complete Riemannian manifold (F...
Abstract. We consider the initial value problem for wave-maps corre-sponding to constant coefficient...
In this thesis we investigate the stability properties of a special class of solutions to the wave m...
Herr S, Lamm T, Schmid T, Schnaubelt R. Biharmonic wave maps: Local wellposedness in high regularity...
Brzezniak Z, Goldys B, Ondrejat M, Rana N. Large deviations for (1+1)-dimensional stochastic geometr...
Let M be a compact Riemannian homogeneous space (e.g. a Euclidean sphere). We prove existence of a g...
Abstract. We consider the wave maps equation with values into a Riemannian manifold which is isometr...
We establish global well-posedness and scattering for wave maps from d-dimensional hyperbolic space ...
Abstract. We show that the wave map equation in R1+1 is in general ill posed in the critical space ˙...
In this article we initiate the study of 1+ 2 dimensional wave maps on a curved spacetime in the low...
We consider wave equations on Lorentzian manifolds in case of low regularity. We first extend the cl...
Abstract. We obtain a sharp local well-posedness result for an equation of wave maps type with varia...
A class of weak wave map solutions with initial data in Sobolev space of order s < 1 is studied. ...
We construct a gauge theoretic change of variables for the wave map from R × Rn into a compact group...
Abstract. We introduce a notion of wave maps with target in the sub-Riemannian Heisenberg group and ...
We consider a inhomogeneous semilinear wave equation on a noncompact complete Riemannian manifold (F...
Abstract. We consider the initial value problem for wave-maps corre-sponding to constant coefficient...
In this thesis we investigate the stability properties of a special class of solutions to the wave m...
Herr S, Lamm T, Schmid T, Schnaubelt R. Biharmonic wave maps: Local wellposedness in high regularity...
Brzezniak Z, Goldys B, Ondrejat M, Rana N. Large deviations for (1+1)-dimensional stochastic geometr...
Let M be a compact Riemannian homogeneous space (e.g. a Euclidean sphere). We prove existence of a g...