Blow--up for nonlinear Maxwell equations
01 Pubblicazione su rivista
D'Ancona Piero, Schnaubelt Roland, Nicaise Serge
ISSN: 1072-6691
We construct classical solutions to the nonlinear Maxwell system
with periodic boundary conditions which blow up in H(curl).
A similar result is shown on the full space. Our construction is based on an analysis of a shock wave in one space dimension.