7 papers
Smooth finite time singularity formation without quantization
Istvan Kadar
We revisit the finite time singularity formation of Krieger-Schlag-Tataru [KST09] for the focusing energy critical wave equation in from a geometric singular-ana…
Matching conditions for scattering solutions of scalar wave equations on extremal Reissner-Nordström spacetimes
Yannis Angelopoulos, Istvan Kadar
We study scattering solutions of the linear wave equation on extremal Reissner-Nordström spacetimes, satisfying the following properties: i) attains a prescribed radiation…
Scattering and stability for ODE-type blow-up surfaces for focusing nonlinear wave equations
Istvan Kadar, Warren Li
We study the focusing power nonlinear wave equation with any power, in Minkowski space of any spacetime dimension. We present a complete understanding of the local stability and sc…
A note on exterior stability of isolated singularity formation for nonlinear wave equations
Istvan Kadar, Lionor Kehrberger
We study the stability of the exterior of Type I and Type II singularity formation for the wave maps equation in with and the power nonlinear wave equat…
Scattering, Polyhomogeneity and Asymptotics for Quasilinear Wave Equations From Past to Future Null Infinity
Istvan Kadar, Lionor Kehrberger
We present a general construction of semiglobal scattering solutions to quasilinear wave equations in a neighbourhood of spacelike infinity including past and future null infinity,…
Construction of multi-soliton solutions for the energy critical wave equation in dimension 3
Istvan Kadar
We study the energy-critical wave equation in three dimensions, focusing on its ground state soliton, denoted by . Using the Poincaré symmetry inherent in the equation, boosting…
A scattering theory construction of dynamical solitons in 3d
Istvan Kadar
We study the energy critical wave equation in 3 dimensions around a single soliton. We obtain energy boundedness (modulo unstable modes) for the linearised problem. We use this to…