Publications (42)
A note on energy currents and decay for the wave equation on a Schwarzschild background
Mihalis Dafermos, Igor Rodnianski
A scattering theory for the wave equation on Kerr black hole exteriors
Mihalis Dafermos, Igor Rodnianski, Yakov Shlapentokh-Rothman
Global existence for the Einstein vacuum equations in wave coordinates
Hans Lindblad, Igor Rodnianski
Does a quantum particle know the time?
Lev Kapitanski, Igor Rodnianski
A geometric approach to the Littlewood-Paley theory
Sergiu Klainerman, Igor Rodnianski
Small-amplitude nonlinear waves on a black hole background
Mihalis Dafermos, Igor Rodnianski
Lectures on black holes and linear waves
Mihalis Dafermos, Igor Rodnianski
Stable Big Bang Formation in Near-FLRW Solutions to the Einstein-Scalar Field and Einstein-Stiff Fluid Systems
Igor Rodnianski, Jared Speck
Sharp $L^1$ estimates for singular transport equations
Sergiu Klainerman, Igor Rodnianski
Blow up dynamics for smooth equivariant solutions to the energy critical Schrödinger map
Frank Merle, Pierre Raphaël, Igor Rodnianski
The red-shift effect and radiation decay on black hole spacetimes
Mihalis Dafermos, Igor Rodnianski
Type II blow up for the energy supercritical NLS
Frank Merle, Pierre Raphael, Igor Rodnianski
Long-time decay estimates for the Schrödinger equation on manifolds
Igor Rodnianski, Terence Tao
Decay for solutions of the wave equation on Kerr exterior spacetimes I-II: The cases |a| << M or axisymmetry
Mihalis Dafermos, Igor Rodnianski
Decay for solutions of the wave equation on Kerr exterior spacetimes III: The full subextremal case |a| < M
Mihalis Dafermos, Igor Rodnianski, Yakov Shlapentokh-Rothman
The global stability of the Minkowski space-time in harmonic gauge
Hans Lindblad, Igor Rodnianski
On the Formation of Singularities in the Critical O(3) Sigma-Model
Igor Rodnianski, Jacob Sterbenz
A regime of linear stability for the Einstein-scalar field system with applications to nonlinear Big Bang formation
Igor Rodnianski, Jared Speck
On the global well-posedness of the one-dimensional Schrodinger map flow
Igor Rodnianski, Yanir A. Rubinstein, Gigliola Staffilani
The wave equation on Schwarzschild-de Sitter spacetimes
Mihalis Dafermos, Igor Rodnianski
On the nature of Hawking's incompleteness for the Einstein-vacuum equations: The regime of moderately spatially anisotropic initial data
Igor Rodnianski, Jared Speck
A proof of the uniform boundedness of solutions to the wave equation on slowly rotating Kerr backgrounds
Mihalis Dafermos, Igor Rodnianski
A physical space approach to wave equation bilinear estimates
Sergiu Klainerman, Igor Rodnianski, Terence Tao
A note on boundary value problems for black hole evolutions
Mihalis Dafermos, Igor Rodnianski
A proof of Price's law for the collapse of a self-gravitating scalar field
Mihalis Dafermos, Igor Rodnianski
Blow up dynamics for smooth data equivariant solutions to the energy critical Schrodinger map problem
Frank Merle, Pierre Raphael, Igor Rodnianski
Local Propagation of Impulsive Gravitational Waves
Jonathan Luk, Igor Rodnianski
Effective limiting absorption principles, and applications
Igor Rodnianski, Terence Tao
The Stability of the Irrotational Euler-Einstein System with a Positive Cosmological Constant
Igor Rodnianski, Jared Speck
Angular Regularity and Strichartz Estimates for the Wave Equation
Jacob Sterbenz, Igor Rodnianski
A fully anisotropic mechanism for formation of trapped surfaces in vacuum
Sergiu Klainerman, Jonathan Luk, Igor Rodnianski
The Bounded L2 Curvature Conjecture
Sergiu Klainerman, Igor Rodnianski, Jeremie Szeftel
Boundedness and decay for the Teukolsky equation on Kerr spacetimes I: the case $|a|\ll M$
Mihalis Dafermos, Gustav Holzegel, Igor Rodnianski
Quantum Fluctuations and Rate of Convergence towards Mean Field Dynamics
Igor Rodnianski, Benjamin Schlein
Nonlinear interaction of impulsive gravitational waves for the vacuum Einstein equations
Jonathan Luk, Igor Rodnianski
The black hole stability problem for linear scalar perturbations
Mihalis Dafermos, Igor Rodnianski
Overview of the proof of the Bounded $L^2$ Curvature Conjecture
Sergiu Klainerman, Igor Rodnianski, Jeremie Szeftel
Causal Geometry of Einstein-Vacuum Spacetimes with Finite Curvature Flux
Sergiu Klainerman, Igor Rodnianski
Boltzmann limit for a homogenous Fermi gas with dynamical Hartree-Fock interactions in a random medium
Thomas Chen, Igor Rodnianski
Sharp trace theorems for null hypersurfaces on Einstein metrics with finite curvature flux
Sergiu Klainerman, Igor Rodnianski
The Asymptotically Self-Similar Regime for the Einstein Vacuum Equations
Igor Rodnianski, Yakov Shlapentokh-Rothman
Global regularity for the Maxwell-Klein-Gordon equation with small critical Sobolev norm in high dimensions
Igor Rodnianski, Terence Tao