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math.AP2022
Bubble decomposition for the harmonic map heat flow in the equivariant case
Jacek Jendrej, Andrew Lawrie
We consider the harmonic map heat flow for maps from the plane taking values in the sphere, under equivariant symmetry. It is known that solutions to the initial value problem can…
math.AP2022
Soliton resolution for the energy-critical nonlinear wave equation in the radial case
Jacek Jendrej, Andrew Lawrie
We consider the focusing energy-critical nonlinear wave equation for radially symmetric initial data in space dimensions . This equation has a unique (up to sign and scale…