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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On the solvability of a nonlinear second-order elliptic equation at resonance II [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 1996 We study the existence of solutions of the Neumann problem for semilinear second-order elliptic equations at resonance in which the nonlinear terms may grow superlinearly in one of the directions u
openaire +3 more sources
Reconfigurable Ferroelectric‐Like Two‐Dimensional Electron Gas at Room Temperature
Advanced Materials, EarlyView.We demonstrate the realization of a novel ferroelectric‐like two‐dimensional electron gas (2DEG) based on the epitaxial interface between SrO‐terminate SrTiO3 and ferroeletric KNb0.5Na0.5O3${\rm KNb}_{0.5}{\rm Na}_{0.5}{\rm O}_3$ thin films. We show nonvolatile control of the transport properties enabling spatially reconfigurable devices in which ...
Martando Rath +16 more
wiley +1 more source
Analysis of two-operator boundary-domain integral equations for variable-coefficient mixed BVP [PDF]
, 2011 This is the post-print version of the Article. The official published version can be accessed from the link below - Copyright @ 2011 Steklov Mathematical Institute RAS.Applying the two-operator approach, the mixed (Dirichlet–Neumann) boundary value ...
Mikhailov, SE, Ayele, TG
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Elliptic Hypergeometric Solutions to Elliptic Difference Equations [PDF]
, 2009 It is shown how to define difference equations on particular lattices {x(n)}, n is an element of Z, made of values of an elliptic function at a sequence of arguments in arithmetic progression (elliptic lattice).
Workshop on Elliptic Integrable Systems, Isomonodromy Problems, and Hypergeometric Functions +1 more
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Hölder Regularity of Solutions to Second-Order Elliptic Equations in Nonsmooth Domains
Boundary Value Problems, 2007 We establish the global Hölder estimates for solutions to second-order elliptic equations, which vanish on the boundary, while the right-hand side is allowed to be unbounded.
Safonov Mikhail, Cho Sungwon
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On the Transmission Problem for Second-Order Quasilinear Elliptic Equations in Divergence Form [PDF]
Учёные записки Казанского университета: Серия Физико-математические науки, 2015 A statement of the transmission problem for quasilinear elliptic equations in divergence form in bounded composed domains in terms of the strengthened Sobolev spaces is proposed.
M.M. Karchevsky, R.R. Shagidullin
doaj
Maskless Fabrication of PLA‐Based Neural Arrays for CNS Recording and Stimulation
Advanced Materials Interfaces, EarlyView.Biodegradable neural interfaces enable bidirectional communication with the CNS. Through electrochemical characterization, ageing tests with impedance monitoring, and in vivo validation, we assess the performance of PLA‐based epicortical and spinal implants.
Anna De Salvo +14 more
wiley +1 more source
A class of alternate strip-based domain decomposition methods for elliptic partial differential Equations [PDF]
, 2005 The domain decomposition strategies proposed in this thesis are efficient preconditioning techniques with good parallelism properties for the discrete systems which arise from the finite element approximation of symmetric elliptic boundary value problems
Mihai, Loredana Angela
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Shape optimization for quadratic functionals and states with random right-hand sides [PDF]
, 2015 International audienceIn this work, we investigate a particular class of shape optimization problems under uncertainties on the input parameters. More precisely, we are interested in the minimization of the expectation of a quadratic objective in a ...
Dambrine, Marc +2 more
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