Displaying 1061 – 1080 of 1121

Showing per page

Sur quelques extensions au cadre banachique de la notion d'opérateur de Hilbert-Schmidt

Said Amana Abdillah, Jean Esterle, Bernhard H. Haak (2015)

Studia Mathematica

In this work we discuss several ways to extend to the context of Banach spaces the notion of Hilbert-Schmidt operator: p-summing operators, γ-summing or γ-radonifying operators, weakly* 1-nuclear operators and classes of operators defined via factorization properties. We introduce the class PS₂(E;F) of pre-Hilbert-Schmidt operators as the class of all operators u: E → F such that w ∘ u ∘ v is Hilbert-Schmidt for every bounded operator v: H₁ → E and every bounded operator w: F → H₂, where H₁ and...

Sur un problème parabolique-elliptique

Philippe Benilan, Petra Wittbold (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

We prove existence (uniqueness is easy) of a weak solution to a boundary value problem for an equation like ( v - 1 ) t + = v x x + F ( v ) x where the function F : is only supposed to be locally lipschitz continuous. In order to replace the lack of compactness in t on v<1, we use nonlinear semigroup theory.

Currently displaying 1061 – 1080 of 1121