E. Lenzmann

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math.AP2026

The half-wave maps equation on $T$ : Global well-posedness in $H^{1/2}$ and almost periodicity

Patrick GÃ©rard, Enno Lenzmann

We consider the half-wave maps equation $\partial_{t} u = u \times ∣ D ∣ u$ for $u : R \times T \to S^{2}$ , where $\mat…

math.AP2026

Finite-time blow-up for the Calogero--Sutherland derivative NLS on $T$

Xi Chen, Enno Lenzmann

We study finite-time blow-up for the focusing Calogero--Sutherland derivative NLS on the torus with smooth initial data in the Hardy space $L_{+}^{2} (T)$ . For finite-gap poten…

math.AP2025

Global Well-Posedness and Soliton Resolution for the Half-Wave Maps Equation with Rational Data

We study the energy-critical half-wave maps equation: \[ \partial_t \mathbf{u} = \mathbf{u} \times |D| \mathbf{u} \] for $u : [0, T) \times R \to S^{2}$ . O…

math.AP2025

Existence and Uniqueness for the Fractional Gelfand Equation in $R$

Florian P. Lanz, Enno Lenzmann

We prove existence, symmetry and uniqueness of solutions to the fractional Gelfand equation $$ (-Î)^s u = e^u \quad \mbox{in $R$ } \quad \mbox{with} \quad \int_{\mathbb{R}…

The half-wave maps equation on T: Global well-posedness in H1/2 and almost periodicity

Finite-time blow-up for the Calogero--Sutherland derivative NLS on T

Global Well-Posedness and Soliton Resolution for the Half-Wave Maps Equation with Rational Data

Existence and Uniqueness for the Fractional Gelfand Equation in R

The half-wave maps equation on $T$ : Global well-posedness in $H^{1/2}$ and almost periodicity

Finite-time blow-up for the Calogero--Sutherland derivative NLS on $T$

Existence and Uniqueness for the Fractional Gelfand Equation in $R$