Construction of multisoliton solutions for semilinear equations in dimension 3
Construction of multisoliton solutions for semilinear equations in dimension 3

Istvan Kadar, Princeton University
Fine Hall 314
The existence of multi black hole solutions in asymptotically flat spacetimes is one of the expectation from the final state conjecture. In this talk, I will present preliminary works in this direction via a semilinear toy model in dimension 3. In particular, I show 1) an algorithm to construct approximate solutions to the energy critical wave equation that converge to a sum of solitons at an arbitrary polynomial rate in (tr); 2) a robust method to solve the remaining error terms for the nonlinear equation. The methods apply to energy supercritical problems.