Tobias Schmid

collaborators

4 papers

math.AP2026

On soliton clusters and collision blow up for the $L^{2}$ -critical Hartree equation

Tobias Schmid, Yutong Wu

We consider the $L^{2}$ -critical nonlinear Hartree equation in $R^{1 + 4}$ and multisoliton solutions for which the trajectories are approximated to leading order by an $m$ -bo…

math.AP2026

Multisoliton solutions and blow up for the $L^{2}$ -critical Hartree equation

Jaime GÃ³mez, Jaime Gómez, Tobias Schmid +1

We construct multisoliton solutions for the $L^{2}$ -critical Hartree equation with trajectories asymptotically obeying a many-body law for an inverse square potential. Precisely, we…

math.AP2024

Finite time blow up for the energy critical Zakharov system II: exact solutions

Joachim Krieger, Tobias Schmid

Based on our companion paper [Krieger-Schmid, 2024], we show that the 4D energy critical Zakharov system admits finite time type II blow up solutions. The main new difficulty this…

math.AP2024

Finite time blow up for the energy critical Zakharov system I: approximate solutions

Joachim Krieger, Tobias Schmid

We construct approximate solutions $(I ¨ _{*}, n_{*})$ of the critical 4D Zakharov system which collapse in finite time to a singular renormalization of the solitary bulk solutions $ (Î…

On soliton clusters and collision blow up for the L2-critical Hartree equation

Multisoliton solutions and blow up for the L2-critical Hartree equation

Finite time blow up for the energy critical Zakharov system II: exact solutions

Finite time blow up for the energy critical Zakharov system I: approximate solutions

On soliton clusters and collision blow up for the $L^{2}$ -critical Hartree equation

Multisoliton solutions and blow up for the $L^{2}$ -critical Hartree equation