Results 31 to 40 of about 6,303,122 (262)
Inverse Numerical Range and Determinantal Quartic Curves
Mathematics, 2020 A hyperbolic ternary form, according to the Helton–Vinnikov theorem, admits a determinantal representation of a linear symmetric matrix pencil. A kernel vector function of the linear symmetric matrix pencil is a solution to the inverse numerical range ...
Mao-Ting Chien, Hiroshi Nakazato
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On an Inverse Problem for Quasi-Linear Elliptic Equation [PDF]
Journal of Siberian Federal University. Mathematics & Physics, 2015 Summary: The identification of an unknown constant coefficient in the main term of the partial differential equation \(- kM\psi(u) + g(x) u = f(x)\) with the Dirichlet boundary condition is investigated. Here \(\psi(u)\) is a nonlinear increasing function of \(u, M\) is a linear self-adjoint elliptic operator of the second order.
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Discrete Geometric Homogenisation and Inverse Homogenisation of an Elliptic Operator [PDF]
, 2008 We show how to parameterise a homogenised conductivity in R² by a scalar function s(x), despite the fact that the conductivity parameter in the related up-scaled elliptic operator is typically tensor valued.
Donaldson, Roger David
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Identification of discontinuous parameters in double phase obstacle problems
Advances in Nonlinear Analysis, 2022 In this article, we investigate the inverse problem of identification of a discontinuous parameter and a discontinuous boundary datum to an elliptic inclusion problem involving a double phase differential operator, a multivalued convection term (a ...
Zeng Shengda +3 more
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An Inverse Problem for an Elliptic Equation
Publications of the Research Institute for Mathematical Sciences, 2004 We consider the following overdetermined boundary value problem: ∆u = λu−µ in Ω , u = 0
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Mathematics, 2022 Inverse problems of recovering surface fluxes on the boundary of a domain from pointwise observations are considered. Sharp conditions on the data ensuring existence and uniqueness of solutions in Sobolev classes are exposed.
Sergey Pyatkov, Denis Shilenkov
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A Bayesian Numerical Homogenization Method for Elliptic Multiscale Inverse Problems [PDF]
SIAM/ASA Journal on Uncertainty Quantification, 2020 A new strategy based on numerical homogenization and Bayesian techniques for solving multiscale inverse problems is introduced. We consider a class of elliptic problems which vary at a microscopic scale, and we aim at recovering the highly oscillatory tensor from measurements of the fine scale solution at the boundary, using a coarse model based on ...
Abdulle, Assyr, Di Blasio, Andrea
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The numerical solution of forward and inverse Robin problems for Laplace’s equation
Boundary Value Problems, 2019 The Robin boundary value problem for Laplace’s equation in the elliptic region (which is a forward problem) and its related inverse problem can be used to reconstruct Robin coefficients from measurements on a partial boundary (inverse problem).
Dan Qu, Yan-Bo Ma
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Survivals of two cooperating species of animals
Partial Differential Equations in Applied Mathematics, 2021 The purpose of this paper is to give conditions for the existence and uniqueness of positive solution to a rather general type of elliptic system of the Dirichlet problem on a bounded domain Ω in Rn.
Joon Hyuk Kang
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Ultrahigh Interfacial Thermal Conductance across GaN/BAs Interfaces via Atomic‐Level Engineering
Advanced Science, EarlyView.The integration of gallium nitride (GaN) with ultrahigh‐thermal‐conductivity boron arsenide (BAs) substrates represents a promising pathway for developing next‐generation high‐power devices. The heat dissipation capability of such integrated systems is fundamentally governed by thermal transport across GaN/BAs interfaces, and buffer layers such as ...
Linfeng Yu +10 more
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