Parabolic systems with non continuous coefficients
Maria Alessandra Ragusa · 2003
In this note we are interested in the local regularity of the highest order derivatives of the solutions of the system $T u = fi(y)$ $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.