Results 61 to 70 of about 106,170 (279)
On the Second Order of Accuracy Stable Implicit Difference Scheme for Elliptic-Parabolic Equations
Abstract and Applied Analysis, 2012 We are interested in studying a second order of accuracy implicit difference scheme for the solution of the elliptic-parabolic equation with the nonlocal boundary condition. Well-posedness of this difference scheme is established.
Allaberen Ashyralyev, Okan Gercek
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Elliptic theory of differential edge operators, II: boundary value problems [PDF]
, 2013 This is a continuation of the first author's development of the theory of elliptic differential operators with edge degeneracies. That first paper treated basic mapping theory, focusing on semi-Fredholm properties on weighted Sobolev and H\"older spaces ...
Mazzeo, Rafe, Vertman, Boris
core
On an Elliptic Boundary Value Problem Not in Divergence Form [PDF]
Proceedings of the American Mathematical Society, 1983 Let G G be a bounded domain in R n ( n ⩾ 2 ) {R^n}(n \geqslant 2) with smooth boundary ∂ G \partial G . We consider the boundary value problem M u − c u
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Advanced Intelligent Systems, Volume 7, Issue 3, March 2025.Quantitative phase maps of single cells recorded in flow cytometry modality feed a hierarchical architecture of machine learning models for the label‐free identification of subtypes of ovarian cancer. The employment of a priori clinical information improves the classification performance, thus emulating the clinical application of liquid biopsy during ...
Daniele Pirone +11 more
wiley +1 more source
Solvability of quasilinear elliptic equations in large dimensions
Electronic Journal of Differential Equations, 2005 We study the solvability of quasilinear elliptic Dirchlet boundary-value problems. In particular, we show that if the dimension of the domain is large enough then the solution exists independent of the growth rate on right-hand side.
Oleg Zubelevich
doaj
On the singular boundary value problem for elliptic equations [PDF]
Transactions of the American Mathematical Society, 1973 The operator L \mathcal {L} is elliptic and of second order in a domain Ω \Omega in R N {R^N} . We consider the following boundary value problem: L u = f \mathcal {L}u = f in Ω
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Advanced Intelligent Systems, EarlyView.This study introduces a data‐driven framework that combines deep reinforcement learning with classical path planning to achieve adaptive microrobot navigation. By training a surrogate neural network to emulate microrobot dynamics, the approach improves learning efficiency, reduces training time, and enables robust real‐time obstacle avoidance in ...
Amar Salehi +3 more
wiley +1 more source
Discontinuous implicit elliptic boundary value problems
Differential and Integral Equations, 1998 An implicity given elliptic differential equation with homogeneous Dirichlet boundary conditions on a bounded domain \(\Omega \subset \mathbb R^N\) with a smooth boundary is considered. The problem in question is described by the equation \(f(x,u,Lu)=0\), where \(f\) can be discontinuous in all its arguments, \(L\) is a semilinear elliptic operator of ...
Carl, S., Heikkilä, S.
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Advanced Intelligent Systems, EarlyView.Four decades of retinal vessel segmentation research (1982–2025) are synthesized, spanning classical image processing, machine learning, and deep learning paradigms. A meta‐analysis of 428 studies establishes a unified taxonomy and highlights performance trends, generalization capabilities, and clinical relevance.
Avinash Bansal +6 more
wiley +1 more source
Semilinear problems with bounded nonlinear term
Boundary Value Problems, 2005 We solve boundary value problems for elliptic semilinear equations in which no asymptotic behavior is prescribed for the nonlinear term.
Martin Schechter
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