Results 41 to 50 of about 123,114 (281)
Linear non-local diffusion problems in metric measure spaces [PDF]
, 2016 The aim of this paper is to provide a comprehensive study of some linear non-local diffusion problems in metric measure spaces. These include, for example, open subsets in ℝN, graphs, manifolds, multi-structures and some fractal sets.
Rodríguez Bernal, Aníbal +1 more
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Introduction to discrete functional analysis techniques for the numerical study of diffusion equations with irregular data [PDF]
, 2015 We give an introduction to discrete functional analysis techniques for stationary and transient diffusion equations. We show how these techniques are used to establish the convergence of various numerical schemes without assuming non-physical regularity ...
Droniou, Jerome
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AxiomsThis paper introduces a new measure of non-compactness within a bounded domain of RN in the generalized Morrey space. This measure is used to establish the existence of solutions for a coupled Hadamard fractional system of integral equations in ...
Asra Hadadfard +2 more
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Weak Continuity and Compactness for Nonlinear Partial Differential Equations [PDF]
, 2015 We present several examples of fundamental problems involving weak continuity and compactness for nonlinear partial differential equations, in which compensated compactness and related ideas have played a significant role.
Chen, Gui-Qiang G.
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A compactness theorem for Fueter sections
, 2017 We prove that a sequence of Fueter sections of a bundle of compact hyperkahler manifolds $\mathfrak X$ over a $3$-manifold $M$ with bounded energy converges (after passing to a subsequence) outside a $1$-dimensional closed rectifiable subset $S \subset M$
Walpuski, Thomas
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On some measures of non-compactness associated to Banach operator ideals
Journal of Approximation Theory, 2023 The first named author was supported by the Ministerio de Economía, Industria y Competitividad and FEDER under project MTM2017-84058-P. The second author was supported by the National Science Centre, Poland , Project no. 2019/33/B/ST1/00165.
Manzano Rodríguez, Antonio +1 more
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Measures of non-compactness of operators in Banach lattices
Journal of Functional Analysis, 1988 Let E and F be complex Banach lattices and T an order bounded linear operator from E to F. The ball measure of non-compactness \(\beta\) (T) [e.g., see \textit{K. Deimling}, Nonlinear Functional Analysis (1985; Zbl 0559.47040)] is studied utilizing a measure of non-semicompactness introduced in this paper.
de Pagter, B, Schep, A.R
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Mathematics, 2022 In the present paper, our main work aims to discover the existence result of the fractional order non-linear Hadamard functional integral equations on [1,a] by employing the theory of measure of non-compactness together with the fixed point theory in ...
Vijai Kumar Pathak +1 more
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, 2007 We use a post-Newtonian diagnostic tool to examine numerically generated quasiequilibrium initial data sets for non-spinning double neutron star and neutron star-black hole binary systems.
Clifford M. Will +6 more
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Quasi s-numbers and measures of non-compactness of multilinear operators
Annales Academiae Scientiarum Fennicae Mathematica, 2013 Let \(X_1, \dots, X_m, Y\) be Banach spaces and \({\mathcal L}_m(X_1\times \dots\times X_m, Y)\) the Banach space of all \(m\)-linear bounded operators from \(X_1\times \dots\times X_m\) to \(Y\). Following the theory of \(s\)-numbers for linear operators, the authors introduce the notion of quasi \(s\)-numbers for multilinear operators. A mapping \(s=(
Fernandez, Dicesar L. +2 more
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