Blow-up solutions of the self-dual Chern-Simons-Higgs vortex equation

Stability of the blow-up profile of non-linear heat equations from the dynamical system point of view.. On the blowup of multidimensional semilinear

Vel´ azquez, Generic behaviour near blow-up points for a N -dimensional semilinear heat equation.. Kato, Perturbation Theory for linear operators, Springer,

Openness of the set of non characteristic points and regularity of the blow-up curve for the 1 d semilinear wave equation.. Existence and classification of characteristic points

In Section C, we give the proof of the local well-posedness result for the Cauchy problem (1.11), namely Theorem 1.1, and in Section D, we collect some useful ordinary

Continuity of the blow-up profile with respect to initial data and to the blow-up point for a semilinear heat equation.. Zaag d,

In the paper, we want to show the existence of non-topological multi-vortex solutions to the (2 + 1)-dimensional relativistic Chern–Simons gauge field theory.. The Chern–Simons

In Section 6, exploiting the pseudo-conformal invariance and the family of stationary solutions, we construct a class of explicit blow-up solutions in the critical

In Section 3 we present our monotone iterative scheme for computing topological CS vortices and establish the basic.. properties of the scheme including its