Displaying similar documents to “About stability and regularization of ill-posed elliptic Cauchy problems: the case of C1,1 domains”

A stability result in the localization of cavities in a thermic conducting medium

B. Canuto, Edi Rosset, S. Vessella (2002)

ESAIM: Control, Optimisation and Calculus of Variations

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We prove a logarithmic stability estimate for a parabolic inverse problem concerning the localization of unknown cavities in a thermic conducting medium Ω in n , n 2 , from a single pair of boundary measurements of temperature and thermal flux.

Boundary regularity of flows under perfect slip boundary conditions

Petr Kaplický, Jakub Tichý (2013)

Open Mathematics

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We investigate boundary regularity of solutions of generalized Stokes equations. The problem is complemented with perfect slip boundary conditions and we assume that the nonlinear elliptic operator satisfies non-standard ϕ-growth conditions. We show the existence of second derivatives of velocity and their optimal regularity.