3 citations · 6 across the 7 of their papers we have counts for
11 papers
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…
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…
Kink networks for scalar fields in dimension 1+1
Gong Chen, Jacek Jendrej
We consider a scalar field equation in dimension with a positive external potential having non-degenerate isolated zeros. We construct weakly interacting pure multi-solitons,…
Nondegeneracy of heteroclinic orbits for a class of potentials on the plane
Jacek Jendrej, Panayotis Smyrnelis
In the scalar case, the nondegeneracy of heteroclinic orbits is a well-known property, commonly used in problems involving nonlinear elliptic, parabolic or hyperbolic P.D.E. On the…
Continuous time soliton resolution for two-bubble equivariant wave maps
Jacek Jendrej, Andrew Lawrie
We consider the energy-critical wave maps equation from 1+2 dimensional Minkowski space into the 2-sphere, in the equivariant case. We prove that if a wave map decomposes, along a…
Uniqueness of two-bubble wave maps
Jacek Jendrej, Andrew Lawrie
This is the second part of a two-paper series that establishes the uniqueness and regularity of a threshold energy wave map that does not scatter in both time directions. Consider…