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math.AP2026
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…
math.AP2025
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,…
math.AP2024
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…