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−div(A(x,t)Du)=μ in×]0,T[, ∂t u=0 on∂×]0,T[, u=0 on×{0}.
Higher differentiability for solutions of a class of parabolic systems with $L^{1, theta}$- data
LEONARDI, Salvatore
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2015-01-01
Abstract
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−div(A(x,t)Du)=μ in×]0,T[, ∂t u=0 on∂×]0,T[, u=0 on×{0}.File in questo prodotto:
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