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most citedGlobal well-posedness, scattering and blow-up for the energy-critical, focusing, non-linear Schrodinger equation in the radial case

596 citations · 1.2k across the 49 of their papers we have counts for

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math.AP2021

Behavior rigidity near non-isolated blow-up points for the semilinear heat equation

Frank Merle, Hatem Zaag

We consider the semilinear heat equation with Sobolev subcritical power nonlinearity in dimension , and a solution which blows up in finite time . Given a non isol…

math.AP2021★ 30 cited

Soliton resolution for critical co-rotational wave maps and radial cubic wave equation

Thomas Duyckaerts, Carlos Kenig, Yvan Martel +1

In this paper we prove the soliton resolution conjecture for all times, for all solutions in the energy space, of the co-rotational wave map equation. To our knowledge this is the…