Results 1 to 10 of about 21,785,520 (294)
Universal topology of exceptional points in nonlinear non-Hermitian systems [PDF]
Nature CommunicationsExceptional points are non-Hermitian degeneracies where eigenvalues and eigenvectors coalesce, giving rise to unusual physical effects across scientific disciplines.
Nai-Hang Kwong +6 more
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On the Solution of the Dirichlet Problem for Second-Order Elliptic Systems in the Unit Disk
Mathematics, 2023 The role played by explicit formulas for solving boundary value problems for elliptic equations and systems is well known. In this paper, explicit formulas for a general solution of the Dirichlet problem for second-order elliptic systems in the unit disk
Astamur Bagapsh, Alexandre Soldatov
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Axioms, 2022 In this article we construct parallel solvers analyze the efficiency and accuracy of general parallel solvers for three dimensional parabolic problems with the fractional power of elliptic operators.
Raimondas Čiegis +2 more
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High-precision quantum algorithms for partial differential equations [PDF]
Quantum, 2021 Quantum computers can produce a quantum encoding of the solution of a system of differential equations exponentially faster than a classical algorithm can produce an explicit description.
Andrew M. Childs +2 more
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The explicit solution of the Neumann boundary value problem for Bauer differential equation in circular domains [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021 The article is devoted to the boundary value problem of Neumann problem's type for solutions of one second-order elliptic differential equation.
Rasulov, Karim Magomedovich +1 more
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Comptes Rendus. Mathématique, 2020 We show that under Kalman’s rank condition, the observability of a scalar equation implies the uniqueness of solution to a system of elliptic operators.
Li, Tatsien, Rao, Bopeng
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On nonnegative radial entire solutions of second order quasilinear elliptic systems
Electronic Journal of Qualitative Theory of Differential Equations, 2002 In this article we consider the second order quasilinear elliptic system of the form $$\Delta_{p_i} u_i=H_i(|x|)u_{i+1}^{\alpha_i}, x\in \mathbb{R}^N, i=1,2,...,m$$ with nonnegative continuous function $H_i$.
T. Teramoto
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Singular Integral Operators and Elliptic Boundary-Value Problems. I
Современная математика: Фундаментальные направления, 2017 The book consists of three Parts I-III and Part I is presented here. In this book, we develop a new approach mainly based on the authors papers. Many results are published here for the first time. Chapter 1 is introductory.
Alexandre P Soldatov
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Journal of Function Spaces, 2021 The existence of three solutions for nonlinear operator equations is established via index theory for linear self-adjoint operator equations, critical point reduction method, and three critical points theorems obtained by Brezis-Nirenberg, Ricceri, and ...
Mingliang Song, Shuyuan Mei
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Slate: extending Firedrake's domain-specific abstraction to hybridized solvers for geoscience and beyond [PDF]
Geoscientific Model Development, 2020 Within the finite element community, discontinuous Galerkin (DG) and mixed finite element methods have become increasingly popular in simulating geophysical flows.
T. H. Gibson +3 more
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