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Uniqueness of semilinear elliptic inverse problem
International Journal of Mathematics and Mathematical Sciences, 2003 We consider the uniqueness of the inverse problem for a semilinear elliptic differential equation with Dirichlet condition. The necessary and sufficient condition of unique solution is obtained.
Chaochun Qu, Ping Wang
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Sequential Monte Carlo methods for Bayesian elliptic inverse problems [PDF]
Statistics and Computing, 2015 In this article, we consider a Bayesian inverse problem associated to elliptic partial differential equations in two and three dimensions. This class of inverse problems is important in applications such as hydrology, but the complexity of the link ...
Beskos, A +3 more
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Mathematics in Engineering, 2021 We consider an inverse problem regarding the detection of small conductivity inhomogeneities in a boundary value problem for a semilinear elliptic equation. For such a problem, that is related to cardiac electrophysiology, an asymptotic expansion for the
Elena Beretta +2 more
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Cumhuriyet Science Journal, 2020 An inverse boundary value problem for a second-order elliptic equation with periodic and integral condition is investigated. The problem is considered in a rectangular domain.
Nergiz Heydarzade +2 more
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Inverse problems for fractional semilinear elliptic equations [PDF]
Nonlinear Analysis, 2022 This paper is concerned with the forward and inverse problems for the fractional semilinear elliptic equation $(- )^s u +a(x,u)=0$ for ...
Ru-Yu Lai, Yi-Hsuan Lin
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Smoothed-Adaptive Perturbed Inverse Iteration for Elliptic Eigenvalue Problems [PDF]
Computational Methods in Applied Mathematics, 2021 Abstract We present a perturbed subspace iteration algorithm to approximate the lowermost eigenvalue cluster of an elliptic eigenvalue problem. As a prototype, we consider the Laplace eigenvalue problem posed in a polygonal domain. The algorithm is motivated by the analysis of inexact (perturbed) inverse iteration algorithms in numerical
Stefano Giani +3 more
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Boundary value problem for mixed type equation of the third order with periodic conditions
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013 The problem for the equation of the mixed elliptic-hyperbolic type with nonlocal boundary conditions is viewed. This problem is reduced to the inverse problem for elliptic-hyperbolic equation with unknown right-hand parts. The criterion of the uniqueness
G. Yu. Udalova, K. B. Sabitov
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Boundary Value Problems, 2006 Via the linking theorem, the existence of nontrivial solutions for a nonlinear elliptic Dirichlet boundary value problem with an inverse square potential is proved.
Yongqing Li, Shenghua Weng
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Cumhuriyet Science Journal, 2019 An inverse boundary value problem for asecond-order elliptic equation with periodic and integral condition isinvestigated. The definition of a classical solution of the problem isintroduced.
N.a. Heydarzade +2 more
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Advances in Mathematical Physics, 2015 Unique determination issues about inverse problems for elliptic partial differential equations in divergence form are summarized and discussed. The inverse problems include medical imaging problems including electrical impedance tomography (EIT), diffuse
Kiwoon Kwon
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