Abstract
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) |
|---|---|
| Pages (from-to) | 1-20 |
| Number of pages | 20 |
| Journal | Archive For Rational Mechanics And Analysis |
| Volume | 177 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jul 2005 |