On the Asymptotic Behavior of D-Solutions to the Displacement Problem of Linear Elastostatics in Exterior Domains [PDF]
Mathematics, 2020 We study the asymptotic behavior of solutions with finite energy to the displacement problem of linear elastostatics in a three-dimensional exterior Lipschitz domain.
Vincenzo Coscia
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Partial expansion of a Lipschitz domain and some applications [PDF]
Frontiers of Mathematics in China, 2011 We show that a Lipschitz domain can be expanded solely near a part of its boundary, assuming that the part is enclosed by a piecewise C1 curve. The expanded domain as well as the extended part are both Lipschitz.
Gopalakrishnan, Jay, Qiu, Weifeng
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Unique continuation at the boundary for harmonic functions in $C^1$ domains and Lipschitz domains with small constant [PDF]
Communications on Pure and Applied Mathematics, 2021 Let $\Omega\subset\mathbb R^n$ be a $C^1$ domain, or more generally, a Lipschitz domain with small local Lipschitz constant. In this paper it is shown that if $u$ is a function harmonic in $\Omega$ and continuous in $\overline \Omega$ which vanishes in a
Tolsa, Xavier
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The Bi-Laplacian with Wentzell Boundary Conditions on Lipschitz Domains [PDF]
Integral equations and operator theory, 2021 We investigate the Bi-Laplacian with Wentzell boundary conditions in a bounded domain Ω⊆Rd\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs ...
Robert Denk, Markus Kunze, David Ploß
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FLRNN-FGA: Fractional-Order Lipschitz Recurrent Neural Network with Frequency-Domain Gated Attention Mechanism for Time Series Forecasting [PDF]
Fractal and FractionalTime series forecasting has played an important role in different industries, including economics, energy, weather, and healthcare. RNN-based methods have shown promising potential due to their strong ability to model the interaction of time and ...
Chunna Zhao +3 more
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Extending the solvability of equations using secant-type methods in Banach space
Journal of Numerical Analysis and Approximation Theory, 2021 We extend the solvability of equations dened on a Banach space using numerically ecient secant-type methods. The convergence domain of these methods is enlarged using our new idea of restricted convergence region.
Ioannis K. Argyros, Santhosh George
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European Journal of Mathematical Analysis, 2023 Developments are presented for the semi-local convergence of Newton’s method to solve Banach space-valued nonlinear equations. By utilizing a new methodology, we provide a finer convergence analysis with no additional conditions than in earlier results ...
Samundra Regmi +3 more
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Two-term spectral asymptotics for the Dirichlet Laplacian in a Lipschitz domain [PDF]
Journal für die Reine und Angewandte Mathematik, 2019 We prove a two-term Weyl-type asymptotic formula for sums of eigenvalues of the Dirichlet Laplacian in a bounded open set with Lipschitz boundary. Moreover, in the case of a convex domain we obtain a universal bound which correctly reproduces the first ...
R. Frank, S. Larson
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Analysis of boundary-domain integral equations based on a new parametrix for the mixed diffusion BVP with variable coefficient in an interior Lipschitz domain [PDF]
Journal of Integral Equations and Applications, 2018 A mixed boundary value problem for the partial differential equation of diffusion in an inhomogeneous medium in a Lipschitz domain is reduced to a system of direct segregated parametrix-based Boundary-Domain Integral Equations (BDIEs).
S. Mikhailov, C. F. Portillo
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Classical solutions of mixed problems for quasilinear first order PFDEs on a cylindrical domain [PDF]
Opuscula Mathematica, 2014 We abandon the setting of the domain as a Cartesian product of real intervals, customary for first order PFDEs (partial functional differential equations) with initial boundary conditions. We give a new set of conditions on the possibly unbounded domain \
Wojciech Czernous
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