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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…
math.AP2024
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…