Geometric characteristics for convergence and asymptotics of successive approximations of equations with smooth operators

Boris Godunov; Petr Zabreĭko

Displaying similar documents to “Geometric characteristics for convergence and asymptotics of successive approximations of equations with smooth operators”

A rigid space admitting compact operators

Paul Sisson (1995)

Studia Mathematica

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A rigid space is a topological vector space whose endomorphisms are all simply scalar multiples of the identity map. The first complete rigid space was published in 1981 in [2]. Clearly a rigid space is a trivial-dual space, and admits no compact endomorphisms. In this paper a modification of the original construction results in a rigid space which is, however, the domain space of a compact operator, answering a question that was first raised soon after the existence of complete rigid...

Approximation by compact operators over spaces of continuous functions.

Aref Kamal (1992)

Collectanea Mathematica

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Functions with derivatives in spaces of Morrey type and elliptic equations in unbounded domains

Anna Canale, Patrizia Di Gironimo, Antonio Vitolo (1998)

Studia Mathematica

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We introduce a sort of "local" Morrey spaces and show an existence and uniqueness theorem for the Dirichlet problem in unbounded domains for linear second order elliptic partial differential equations with principal coefficients "close" to functions having derivatives in such spaces.