We introduce a notion of wave maps with a target in the sub- Riemannian Heisenberg group and study their relation with Riemannian wave maps with range in Lagrangian submanifolds. As an application we establish existence and eventually ill-posedness of the corresponding Cauchy problem
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 ...
We prove global well-posedness for the half-wave map with $S^2$ target for small $\dot{H}^{\frac{n}{...
Abstract. We introduce a notion of wave maps with target in the sub-Riemannian Heisenberg group and ...
We construct a gauge theoretic change of variables for the wave map from R × Rn into a compact group...
Let u : R3+1 -> H-2 be a Wave Map with smooth compactly supported initial data satisfying the smalln...
AbstractThe subelliptic geometry of Heisenberg groups is worked out in detail and related to complex...
In this paper we study the Cauchy problem for the semilinear damped wave equation for the sub-Laplac...
Abstract. Consider the wave equation associated with the Kohn Lapla-cian on groups of Heisenberg typ...
This work is on the Cauchy problem for wave maps coupled to Einstein’s equations of general relativi...
We demonstrate that Wave Maps with smooth initial data and small energy from R2+1 to the Lobatchevsk...
The overall goal of this dissertation is to investigate certain classical results from harmonic anal...
We discuss the $(1+1)$-dimensional wave maps equation with values in a compact Riemannian manifold $...
We study critical points $phi: mathbb{H}_n to S^m$ of the functional $$E_1(phi) = int_Omega mathrm{e...
In this paper we study the Cauchy problem for the wave equations for hypoelliptic homogeneous left-i...
Abstract. We consider the wave maps equation with values into a Riemannian manifold which is isometr...
We establish global well-posedness and scattering for wave maps from d-dimensional hyperbolic space ...
We prove global well-posedness for the half-wave map with $S^2$ target for small $\dot{H}^{\frac{n}{...
Abstract. We introduce a notion of wave maps with target in the sub-Riemannian Heisenberg group and ...
We construct a gauge theoretic change of variables for the wave map from R × Rn into a compact group...
Let u : R3+1 -> H-2 be a Wave Map with smooth compactly supported initial data satisfying the smalln...
AbstractThe subelliptic geometry of Heisenberg groups is worked out in detail and related to complex...
In this paper we study the Cauchy problem for the semilinear damped wave equation for the sub-Laplac...
Abstract. Consider the wave equation associated with the Kohn Lapla-cian on groups of Heisenberg typ...
This work is on the Cauchy problem for wave maps coupled to Einstein’s equations of general relativi...
We demonstrate that Wave Maps with smooth initial data and small energy from R2+1 to the Lobatchevsk...
The overall goal of this dissertation is to investigate certain classical results from harmonic anal...
We discuss the $(1+1)$-dimensional wave maps equation with values in a compact Riemannian manifold $...
We study critical points $phi: mathbb{H}_n to S^m$ of the functional $$E_1(phi) = int_Omega mathrm{e...
In this paper we study the Cauchy problem for the wave equations for hypoelliptic homogeneous left-i...
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 ...
We prove global well-posedness for the half-wave map with $S^2$ target for small $\dot{H}^{\frac{n}{...