A novel distributed gradient algorithm for composite constrained optimization over directed network. [PDF]
Ou M, Zhang H, Yan Z, Yang Z, Ran H.
europepmc +1 more source
The quasi‐redirecting boundary
Abstract We generalize the notion of Gromov boundary to a larger class of metric spaces beyond Gromov hyperbolic spaces. Points in this boundary are classes of quasi‐geodesic rays and the space is equipped with a topology that is naturally invariant under quasi‐isometries.
Yulan Qing, Kasra Rafi
wiley +1 more source
Calderón problem for nonlocal viscous wave equations: Unique determination of linear and nonlinear perturbations. [PDF]
Zimmermann P.
europepmc +1 more source
Functions satisfying Lipschitz conditions.
openaire +3 more sources
ABSTRACT We study eigenvalue problems for the de Rham complex on varying three‐dimensional domains. Our analysis includes the Helmholtz equation as well as the Maxwell system with mixed boundary conditions and non‐constant coefficients. We provide Hadamard‐type formulas for the shape derivatives under weak regularity assumptions on the domain and its ...
Pier Domenico Lamberti +2 more
wiley +1 more source
Transfer Learning for Moderate-Dimensional Ridge-Regularized Robust Linear Regression. [PDF]
Lyu L, Guo X, Liu Z.
europepmc +1 more source
A Continuous Extension that Preserves Concavity, Monotonicity and Lipschitz Continuity [PDF]
Andrés Carvajal
core
Asymptotics for the Spectrum of the Laplacian in Thin Bars with Varying Cross Sections
ABSTRACT We consider spectral problems for the Laplace operator in 3D rod structures with a small cross section of diameter O(ε)$$ O\left(\varepsilon \right) $$, ε$$ \varepsilon $$ being a positive parameter. The boundary conditions are Dirichlet (Neumann, respectively) on the bases of this structure, and Neumann on the lateral boundary.
Pablo Benavent‐Ocejo +2 more
wiley +1 more source
A note on conservation laws with discontinuous flux and L 1 initial data. [PDF]
Karlsen KH, Mitrovic D.
europepmc +1 more source
Existence Analysis of a Three‐Species Memristor Drift‐Diffusion System Coupled to Electric Networks
ABSTRACT The existence of global weak solutions to a partial‐differential‐algebraic system is proved. The system consists of the drift‐diffusion equations for the electron, hole, and oxide vacancy densities in a memristor device, the Poisson equation for the electric potential, and the differential‐algebraic equations for an electric network.
Ansgar Jüngel, Tuấn Tùng Nguyến
wiley +1 more source

