Strong unique continuation and global regularity estimates for nanoplates

Strong Topological Regularity and Weak Regularity of Banach Algebras

In this article we study two different generalizations of von Neumann regularity, namely strong topological regularity and weak regularity, in the Banach algebra context. We show that both are hereditary properties and under certain assumptions, weak regularity implies strong topological regularity. Then we consider strong topological regularity of certain concrete algebras. Moreover we obtain ...

strong topological regularity and weak regularity of banach algebras

in this article we study two different generalizations of von neumann regularity, namely strong topological regularity and weak regularity, in the banach algebra context. we show that both are hereditary properties and under certain assumptions, weak regularity implies strong topological regularity. then we consider strong topological regularity of certain concrete algebras. moreover we obtain ...

Carleman Estimates and Unique Continuation for Second Order Parabolic Equations with Nonsmooth Coefficients

In this work we obtain strong unique continuation results for variable coefficient second order parabolic equations. The coefficients in the principal part are assumed to satisfy a Lipschitz condition in x and a Hölder C 1 3 condition in time. The coefficients in the lower order terms, i.e. the potential and the gradient potential, are allowed to be unbounded and required only to satisfy mixed ...

Carleman estimates and unique continuation for second order elliptic equations with nonsmooth coefficients

Unique Continuation Estimates for the Laplacian and the Heat Equation on Non-compact Manifolds

This article concerns some quantitative versions of unique continuation known as observability inequalities. One of them is a lower bound on the spectral projectors of the Dirichlet Laplacian which generalizes the unique continuation of an eigenfunction from any open set Ω. Another one is equivalent to the interior null-controllability in time T of the heat equation with Dirichlet condition (th...