Results 71 to 80 of about 683 (263)
On the existence of weak optimal BV-controls in coefficients for linear elliptic problems
Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ, 2009 In this paper we study the optimal control problem associated to a linear degenerate elliptic equation with mixed boundary conditions. We adopt a weight coefficient in the main part of elliptic operator as control in BV(Ω).
I. G. Balanenko, P. I. Kogut
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Advanced Materials, EarlyView.This review examines passive, active, and hybrid liquid manipulation strategies, highlighting hybrid approaches as an emerging route to reconcile energy efficiency with adaptive control. By actively reconstructing passive surfaces to store programmable interfacial energy, hybrid systems enable flexible yet low‐power liquid transport, with perspectives ...
Jiaqi Miao +3 more
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Initial-value problems for linear distributed-order differential equations in Banach spaces
Electronic Journal of Differential Equations, 2018 We solve the Cauchy problem for inhomogeneous distributed-order equations in a Banach space with a linear bounded operator in the right-hand side, with respect to the distributed Caputo derivative.
Vladimir E. Fedorov +1 more
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UNIFORM BMO ESTIMATE OF PARABOLIC EQUATIONS AND GLOBAL WELL-POSEDNESS OF THE THERMISTOR PROBLEM
Forum of Mathematics, Sigma, 2015 We prove global well-posedness of the time-dependent degenerate thermistor problem by establishing a uniform-in-time bounded mean ocsillation (BMO) estimate of inhomogeneous parabolic equations.
BUYANG LI, CHAOXIA YANG
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Advanced Materials, EarlyView.Mixed‐cation lead mixed‐halide perovskites suffer from structural instabilities linked to nanoscale heterogeneity. To probe this non‐destructively, a low‐dose, concurrent 4D‐STEM and EDX methodology has been developed. Examining a (FA0.83Cs0.17)Pb(I0.8Br0.2)3 film revealed a complex mosaic of coexisting crystal structures. Crucially, local deficiencies
Jinseok Ryu +6 more
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Existence of solutions for quasilinear degenerate elliptic equations
Electronic Journal of Differential Equations, 2001 In this paper, we study the existence of solutions for quasilinear degenerate elliptic equations of the form $A(u)+g(x,u,abla u)=h$, where $A$ is a Leray-Lions operator from $W_0^{1,p}(Omega,w)$ to its dual.
Y. Akdim, E. Azroul, A. Benkirane
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Degenerate Elliptic Equations and Nonuniqueness of Solutions to the Kolmogorov Equation
Doklady Mathematics, 2019 In this paper we propose a new method of constructing examples of nonuniqueness of probability solutions by reducing the stationary Fokker-Planck-Kolmogorov equation to a degenerate elliptic equation on a bounded domain.
openaire +2 more sources
Advanced Materials Interfaces, EarlyView.Large size (∼100 µm) monolayer MoS2 grown by LPI‐CVD on n‐GaN exhibit a high n‐type doping, very low strain, and a type‐I band alignment at MoS2/GaN interface. Photocurrent measurements under illumination with photon energies from ∼2 to ∼5 eV show superior electro‐optical performances of these MoS2/n‐GaN heterojunctions as compared to Ni/n‐GaN devices ...
Salvatore Ethan Panasci +12 more
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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
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Quasiconformal mappings and degenerate elliptic and parabolic equations
Le Matematiche, 1987 In this paper two Harnak inequalities are proved concerning a degenerate elliptic and a degenerate parabolic equation. In both cases the weight giving the degeneracy is a power of the jacobian of a quasiconformal mapping.
Filippo Chiarenza +1 more
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