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Soliton Resolution for Wave Type Equations for Wave Type Equations

Abstract

Soliton resolution conjecture states roughly that the reasonable solution will beresolved asymptotically into the superposition of the soliton solutions plus aradiation term. There has been a lot of progress in this field in recent years, inparticular for energy critical wave equations and wave maps. In this talk, we willintroduce some recent results on the soliton resolution for some wave typeequations.