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Spectrally adapted physics-informed neural networks for solving unbounded domain problems
Machine Learning: Science and Technology, 2023 Solving analytically intractable partial differential equations (PDEs) that involve at least one variable defined on an unbounded domain arises in numerous physical applications.
Mingtao Xia, Lucas Böttcher, Tom Chou
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Higher-order p-Laplacian boundary value problem at resonance on an unbounded domain [PDF]
Heliyon, 2020 Kanayo Stella Eke
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On the Existence of Optimal Potentials on Unbounded Domains [PDF]
SIAM Journal on Mathematical Analysis, 2021 A minimization problem is considered where the unknown is the potential $V(x)$ or, more generally, a measure $\mu$ of a Schrödinger equation. More precisely, let $\mu$ be a capacitary measure that can be decomposed as $\mu=\mu^a+\mu^s+\mu^\infty$ where $\mu^a$ and $\mu^s$ are respectively the absolutely continuous and the singular parts of $\mu$ with ...
Giuseppe M. Buttazzo +2 more
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Invariant Subspaces in Unbounded Domains
Issues of Analysis, 2021 Summary: We study subspaces of functions analytic in an unbounded convex domain of the complex plane and invariant with respect to the differentiation operator. This paper is devoted to the study of the problem of representing all functions from an invariant subspace by series of exponential monomials. These exponential monomials are eigenfunctions and
A. S. Krivosheev, O. A. Krivosheeva
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Axisymmetric Scaled Boundary Finite Element Formulation for Wave Propagation in Unbounded Layered Media [PDF]
Civil Engineering Infrastructures Journal, 2020 Wave propagation in unbounded layered media with a new formulation of Axisymmetric Scaled Boundary Finite Element Method (AXI-SBFEM) is derived. Dividing the general three-dimensional unbounded domain into a number of independent two-dimensional ones ...
Mojtaba Aslmand, Iradj Mahmoudzadeh Kani
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NOT LOCAL PROBLEM OF TYPE OF THE PROBLEM BITSADZE – SAMARSKY FOR THE EQUATION THE MIXED TYPE IN UNLIMITED AREA [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2010 In this paper the existence and uniqueness of the solution of the nonlocal boundary value problem for the mixed type equation in unbounded domain are proved.In this paper the existence and uniqueness of the solution of the non-local boundary value ...
Zunnunov R.T.
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Dynamic Analysis of Foundations on Saturated Clay Using an Energy Absorbing Layer [PDF]
Engineering and Technology Journal, 2011 In this study, a method to model the semi-infinite extension (unbounded domain) of the saturated soil is developed. In this method, the unbounded domain is replaced by an absorbing layer of finite thickness with properties that appreciably reduce the ...
Saad F. A. Al-Wakel +2 more
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Decaying positive global solutions of second order difference equations with mean curvature operator
Electronic Journal of Qualitative Theory of Differential Equations, 2020 A boundary value problem on an unbounded domain, associated to difference equations with the Euclidean mean curvature operator is considered. The existence of solutions which are positive on the whole domain and decaying at infinity is examined by ...
Zuzana Dosla +2 more
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Journal of Inequalities and Applications, 2020 This paper concerns the long term behavior of the stochastic two-dimensional g-Navier–Stokes equations with additive noise defined on a sequence of expanding domains, where the ultimate domain is unbounded and of Poincaré type.
Fuzhi Li, Dongmei Xu, Lianbing She
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A hybrid method for solving time fractional advection–diffusion equation on unbounded space domain
Advances in Difference Equations, 2020 In this article, a hybrid method is developed for solving the time fractional advection–diffusion equation on an unbounded space domain. More precisely, the Chebyshev cardinal functions are used to approximate the solution of the problem over a bounded ...
H. Azin, F. Mohammadi, M. H. Heydari
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