Higher Differentiability for Solutions of A Class of Parabolic Systems With L1,θ- Data

kanodia chandra;

We study the higher differentiability of the very weak solution of the Cauchy–Dirichlet problem associated to the linear parabolic system with Hölder continuous coefficients and L1 right-hand side of the form
∂u/∂t− div(A(x, t)Du) = μ in ×]0, T [,
u =0 on∂×]0, T [,
u =0 on × {0}.