We construct smooth 2×2 parabolic systems with smooth initial data and C α right-hand side which admit solutions that are nowhere C 1. The elliptic part is in variational form and the corresponding energy φ is strongly quasiconvex and in particular satisfies a uniform Legendre-Hadamard (or strong ellipticity) condition.
|Original language||English (US)|
|Number of pages||20|
|Journal||Archive For Rational Mechanics And Analysis|
|State||Published - Jul 2005|