30 citations · 56 across the 9 of their papers we have counts for
10 papers
Existence of stationary solutions of supercritical nonlinear Schr{ö}dinger equations on some metric graphs
Nabile Boussaïd, Jack Borthwick
We consider the existence of stationary wave solutions with prescribed mass to a supercritical nonlinear Schr{ö}dinger equation on a noncompact connected metric graph without a sma…
Inverse problems for the Bakry-Émery Laplacian on manifolds with boundary -- uniqueness and non-uniqueness
Jack Borthwick, Niky Kamran
We study the questions of uniqueness and non-uniqueness for a pair of closely related inverse problems for the Bakry-Émery Laplacian on a smooth compact and orien…
Boundary rigidity, and non-rigidity, of projective structures
Jack Borthwick, Niky Kamran
We investigate the property of boundary rigidity for the projective structures associated to torsion-free affine connections on connected analytic manifolds with boundary. We show…
Peeling at extreme black hole horizons
Jack Borthwick, Eric Gourgoulhon, Jean-Philippe Nicolas
The starting point of this work was an intriguing similarity between the behaviour of fields near a degenerate horizon and near the infinity of an asymptotically flat spacetime, as…
Normalized solutions of -supercritical NLS equations on noncompact metric graphs with localized nonlinearities
Jack Borthwick, Xiaojun Chang, Louis Jeanjean +1
In this paper we are concerned with the existence of normalized solutions for nonlinear Schrödinger equations on noncompact metric graphs with localized nonlinearities. In a -…
Bounded Palais-Smale sequences with Morse type information for some constrained functionals
Jack Borthwick, Xiaojun Chang, Louis Jeanjean +1
In this paper, we study, for functionals having a mountain pass geometry on a constraint, the existence of bounded Palais-Smale sequences carrying Morse index type information.
Inverse Regge poles problem on a warped ball
Jack Borthwick, Nabile Boussaïd, Thierry Daudé
In this paper, we study a new type of inverse problem on warped product Riemannian manifolds with connected boundary that we name warped balls. Using the symmetry of the geometry,…
Projective differential geometry and asymptotic analysis in General Relativity
Jack Borthwick
In this text, we explore the tools that Projective Differential Geometry can provide for the asymptotic analysis of classical fields on projectively compact manifolds. We emphasise…
Scattering theory for Dirac fields near an extreme Kerr-de Sitter black hole
Jack Borthwick
In this paper, we construct a scattering theory for classical massive Dirac fields near the "double" horizon of an extreme Kerr-de Sitter blackhole. Our main tool is the existence…
Maximal Kerr de Sitter spacetimes
Jack Borthwick
In this paper, we propose a survey of the basic geometric properties of Carters Kerr-de Sitter solution to Einsteins equation with positive cosmological constant. In particular, we…