Results 1 to 10 of about 1,775 (114)

An Inverse Boundary Value Problem for a Second Order Elliptic Equation in a Rectangle

open access: yesMathematical Modelling and Analysis, 2014
In this paper, the inverse problem of finding a coefficient in a second order elliptic equation is investigated. The conditions for the existence and uniqueness of the classical solution of the problem under consideration are established. Numerical tests
Yashar T. Mehraliyev, Fatma Kanca
doaj   +3 more sources

On an inverse boundary-value problem for a second-order elliptic equation with non-classical boundary conditions

open access: yesCumhuriyet 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
doaj   +1 more source

Boundary value problem for mixed type equation of the third order with periodic conditions

open access: yesVestnik 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
doaj   +3 more sources

Existence of solutions for a nonlinear elliptic Dirichlet boundary value problem with an inverse square potential

open access: yesBoundary 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
doaj   +2 more sources

Uniqueness of semilinear elliptic inverse problem

open access: yesInternational 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
doaj   +1 more source

On Solvability of An Inverse Boundary Value Problem For The Elliptic Equation Of Second Order With Periodic And Integral Condition

open access: yesCumhuriyet 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
doaj   +1 more source

Uniqueness and Nonuniqueness in Inverse Problems for Elliptic Partial Differential Equations and Related Medical Imaging

open access: yesAdvances 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
doaj   +1 more source

A double inverse problem for Fredholm integro-differential equation of elliptic type

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014
In this paper the double inverse problem for partial differential equations is considered. The method of studying the one value solvability of the double inverse problem for a Fredholm integro-differential equation of elliptic type with degenerate kernel
Tursun K Yuldashev
doaj   +1 more source

Numerical solution to elliptic inverse problem with Neumann-type integral condition and overdetermination

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2020
In modeling various real processes, an important role is played by methods of solution source identification problem for partial differential equation.
C. Ashyralyyev, A. Cay
doaj   +1 more source

A Strongly Ill-Posed Problem for the Equation

open access: yesCumhuriyet Science Journal, 2018
In this work, we consider an inverse problem for an elliptic equationwhich is strongly ill-posed in Hadamard sense. We prove the uniqueness of thesolution of the problem by using Carleman estimates.
Mustafa Yıldız
doaj   +1 more source

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