Analysis Seminar
Linde Hall 187
Construction of multi-soliton solutions for semilinear equations in dimension 3
Istvan Kadar,
Department of Mathematics,
Princeton University,
The existence of multi black hole solutions in asymptotically flat spacetimes is one of the expectations 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 (t-r); 2) a robust method to solve the remaining error terms for the nonlinear equation. The methods apply to energy supercritical problems.
For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected].
Event Series
Analysis Seminar Series
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