Results 31 to 40 of about 5,504,214 (282)

Variational Convergence of Gradient Flows and Rate-Independent Evolutions in Metric Spaces [PDF]

, 2012
We study the asymptotic behaviour of families of gradient flows in a general metric setting, when the metric-dissipation potentials degenerate in the limit to a dissipation with linear growth.We present a general variational definition of BV solutions to
A. Mielke, Riccarda Rossi, Giuseppe Savare'   +2 more
semanticscholar   +1 more source

Some Iterative Methods for Solving Nonconvex Bifunction Equilibrium Variational Inequalities

Journal of Applied Mathematics, 2012
We introduce and consider a new class of equilibrium problems and variational inequalities involving bifunction, which is called the nonconvex bifunction equilibrium variational inequality.
Muhammad Aslam Noor, Khalida Inayat Noor, Saira Zainab   +2 more
doaj   +1 more source

Variation Norm Convergence of Function Sequences [PDF]

Proceedings of the American Mathematical Society, 1974
We prove that a pointwise convergent sequence of convex functions with a continuous limit converges with respect to the total variation norm. This yields a theorem on convexity-preserving operators which has as a corollary the result that a complex function f f is absolutely continuous on [ 0 , 1
openaire   +2 more sources

A finite element method for exterior interface problems

International Journal of Mathematics and Mathematical Sciences, 1980
A procedure is given for the approximate solution of a class of two-dimensional diffraction problems. Here the usual inner boundary conditions are replaced by an inner region together with interface conditions.
R. C. Maccamy, S. P. Marin
doaj   +1 more source

Convergence Results for Elliptic Variational-Hemivariational Inequalities [PDF]

Advances in Nonlinear Analysis, 2020
AbstractWe consider an elliptic variational-hemivariational inequality 𝓟 in a reflexive Banach space, governed by a set of constraintsK, a nonlinear operatorA, and an elementf. We associate to this inequality a sequence {𝓟n} of variational-hemivariational inequalities such that, for eachn∈ ℕ, inequality 𝓟nis obtained by perturbing the dataKandAand ...
Cai, Dong-ling, Sofonea, Mircea, Xiao, Yi-bin   +2 more
openaire   +2 more sources

Mapping the evolution of mitochondrial complex I through structural variation

FEBS Letters, EarlyView.
Respiratory complex I (CI) is crucial for bioenergetic metabolism in many prokaryotes and eukaryotes. It is composed of a conserved set of core subunits and additional accessory subunits that vary depending on the organism. Here, we categorize CI subunits from available structures to map the evolution of CI across eukaryotes. Respiratory complex I (CI)
Dong‐Woo Shin, Tingting Chen, James A. Letts   +2 more
wiley   +1 more source

On Attainability of Optimal Solutions for Linear Elliptic Equations with Unbounded Coefficients

Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ, 2011
We study an optimal boundary control problem (OCP) associated to a linear elliptic equation —div (Vj/ + A(x)Vy) = f describing diffusion in a turbulent flow. The characteristic feature of this equation is the fact that, in applications, the stream matrix
P. I. Kogut, O. P. Kupenko
doaj   +1 more source

On the Weak Convergence of the Extragradient Method for Solving Pseudo-Monotone Variational Inequalities

Journal of Optimization Theory and Applications, 2018
In infinite-dimensional Hilbert spaces, we prove that the iterative sequence generated by the extragradient method for solving pseudo-monotone variational inequalities converges weakly to a solution. A class of pseudo-monotone variational inequalities is
P. Vuong
semanticscholar   +1 more source

Spatiotemporal and quantitative analyses of phosphoinositides – fluorescent probe—and mass spectrometry‐based approaches

FEBS Letters, EarlyView.
Fluorescent probes allow dynamic visualization of phosphoinositides in living cells (left), whereas mass spectrometry provides high‐sensitivity, isomer‐resolved quantitation (right). Their synergistic use captures complementary aspects of lipid signaling. This review illustrates how these approaches reveal the spatiotemporal regulation and quantitative
Hiroaki Kajiho, Shin Morioka, Junko Sasaki, Takehiko Sasaki   +3 more
wiley   +1 more source

Implicit Iterative Method for Hierarchical Variational Inequalities

Journal of Applied Mathematics, 2012
We introduce a new implicit iterative scheme with perturbation for finding the approximate solutions of a hierarchical variational inequality, that is, a variational inequality over the common fixed point set of a finite family of nonexpansive mappings ...
L.-C. Ceng, Q. H. Ansari, N.-C. Wong, J.-C. Yao   +3 more
doaj   +1 more source