Large time behaviour of solutions to nonhomogeneous diffusion equations [PDF]
, 2006 This note is devoted to the study of the long time behaviour of solutions to the heat and the porous medium equations in the presence of an external source term, using entropy methods and self-similar variables.
Dolbeault, Jean +3 more
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Subconvexity for additive equations: Pairs of undenary cubic forms [PDF]
, 2014 We investigate pairs of diagonal cubic equations with integral coefficients. For a class of such Diophantine systems with 11 or more variables, we are able to establish that the number of integral solutions in a large box is at least as large as the ...
Brueden, Joerg +4 more
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On the asymptotic behavior of positive solutions of certain integral equations
Applied Mathematics Letters, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
An asymptotic functional-integral solution for the Schrödinger equation with polynomial potential
Journal of Functional Analysis, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S. Albeverio, Mazzucchi, Sonia
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Positive solutions of nonlinear fourth-order boundary-value problems with local and non-local boundary conditions [PDF]
, 2008 We establish new existence results for multiple positive solutions of fourth-order nonlinear equations which model deflections of an elastic beam. We consider the widely studied boundary conditions corresponding to clamped and hinged ends and many non ...
J. R. L. Webb +5 more
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Asymptotic behaviour at infinity of solutions of second kind integral equations on unbounded regions of Rn [PDF]
, 1994 We consider second kind integral equations of the form x(s) - (abbreviated x - K x = y ), in which Ω is some unbounded subset of Rn. Let Xp denote the weighted space of functions x continuous on Ω and satisfying x (s) = O(|s|-p ),s → ∞We show that if the
Peplow, AT, Chandler-Wilde, SN
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Approximate solution of second kind integral equations on infinite cylindrical surfaces [PDF]
, 1994 The paper considers second kind integral equations of the form (abbreviated)φφK+=g, in which S is an infinite cylindrical surface of arbitrary smooth cross-section.
Peplow, AT, Chandler-Wilde, SN
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Integral Equations Concepts and Solutions [PDF]
, 2016 In this research I shall study general concepts of integral equations including classifications, some theorems that help in formulating the solutions analytically and numerically, with some applications of integral equations in applied and pure ...
Ahmed Abdalrhman Osman Mohamed
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High-Order Integral Equation Methods for Diffraction Problems Involving Screens and Apertures [PDF]
, 2012 This thesis presents a novel approach for the numerical solution of problems of diffraction by infinitely thin screens and apertures. The new methodology relies on combination of weighted versions of the classical operators associated with the Dirichlet ...
Lintner, Stéphane Karl
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Solutions of a system of integral equations in orlicz spaces [PDF]
, 2009 We consider the following system of integral equations u(i)(t) = integral(1)(0) g(i)(t, s)f(i) (s, u(1)(s), u(2)(s),...,u(n)(s)) ds, a.e. t is an element of [0,1].
O'Regan, Donal +3 more
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