In this paper we study the convergence of the Cauchy-Dirichlet problems for a sequence of parabolic operators Ph = ∂/∂t - div (ah(x,t) · D), where the matrices of the coefficient ah(x,t) verify the following degenerate elliptic condition: λh(x)|ξ|2 ≤ (ah(x,t) · ξ,ξ) ≤ Lλh(x)|ξ|2, being (λh)h a sequence of weights satisfying an uniform Muckenhoupt's condition in h. © Elsevier, Paris.
On the convergence of a class of degenerate parabolic equations
Serra Cassano, Francesco
1998-01-01
Abstract
In this paper we study the convergence of the Cauchy-Dirichlet problems for a sequence of parabolic operators Ph = ∂/∂t - div (ah(x,t) · D), where the matrices of the coefficient ah(x,t) verify the following degenerate elliptic condition: λh(x)|ξ|2 ≤ (ah(x,t) · ξ,ξ) ≤ Lλh(x)|ξ|2, being (λh)h a sequence of weights satisfying an uniform Muckenhoupt's condition in h. © Elsevier, Paris.File in questo prodotto:
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