We consider the half-wave equation iut=Du−|u|[Formula presented]u in three dimensions and in the mass critical. For initial data u(t0,x)=u0(x)∈Hrad1/2+δ(R3) with radial symmetry, we construct a new class of the radial blowup solutions with the blow up rate ‖D[Formula presented]u(t)‖2∼[Formula presented] as t→0−.
Blowup dynamics for mass critical half-wave equation in 3D
Georgiev V.
;
2021-01-01
Abstract
We consider the half-wave equation iut=Du−|u|[Formula presented]u in three dimensions and in the mass critical. For initial data u(t0,x)=u0(x)∈Hrad1/2+δ(R3) with radial symmetry, we construct a new class of the radial blowup solutions with the blow up rate ‖D[Formula presented]u(t)‖2∼[Formula presented] as t→0−.File in questo prodotto:
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