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Convergence of operator-semigroups associated with generalised elliptic forms
Elliptic sesquilinear forms Semigroup convergence Gibbs semigroups Minimax principle Schatten classes
2011/8/26
Abstract: In a recent article, Arendt and ter Elst have shown that every sectorial form is in a natural way associated with the generator of an analytic strongly continuous semigroup, even if the form...
lower bound of the first eigenvalue of certain self-adjoint elliptic operators on manifolds containing long necks
lower bound manifolds containing long necks certain self-adjoint elliptic operators
2010/3/5
In this note, under certain regularity and transversality conditions we obtain a sharp lower bound of the first eigenvalue for certain self-adjoint elliptic operators on manifolds with long necks. Thi...
ON THE UNIQUE CONTINUATION PROPERTIES FOR ELLIPTIC OPERATORS WITH SINGULAR POTENTIALS
doubling property unique continuation Lipschitz domain Kato--Fefferman--Phong s potential
2007/12/11
Let $u$ be a solution to a second order elliptic equation with singular potentials belonging to Kato--Fefferman--Phong's class in Lipschitz domains. An elementary proof of the doubling property for $u...