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Parabolic systems with non continuous coefficients
| 1. | Dipartimento di Matematica e Informatica, Viale Andrea Doria, 6, 95128- Catania, Italy |
$T u = fi(y)$ $i = 1,...,N
where the known terms $f_i$ are in Lebesgue spaces and the differential the parabolic operator $T$ has the form
$ut - \sum_{j=1}^{N}\sum_{|\alpha|=2s} a^(\alpha)_(ij) (y)D^(\alpha) u_j (y) + \sum_{j=1}^{N}\sum_{|\alpha|<=2s-1} b^(\alpha)_(ij) (y)D^(\alpha) u_j (y)$.
have discontinuous coefficients.
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