Results 241 to 250 of about 94,152 (277)
Some of the next articles are maybe not open access.
Inverse problems for elliptic equations on the plane: I
Differential Equations, 2006The author deals with the problem of finding a function \(u(x,y)\) which is a solution of the following boundary value problem \(\Omega\subset\mathbb R^2\) satisfying certain conditions: \[ \begin{gathered} (Lu)(x,y)= F(x,y),\quad (x,y)\in\Omega,\\ u(x,y)= f(x,y),\quad (x,y)\in\partial\Omega,\end{gathered} \] where \[ \begin{multlined} (Lu)(x,y):= a_ ...
openaire +2 more sources
An Inverse Problem for a Nonlinear Elliptic Differential Equation
SIAM Journal on Mathematical Analysis, 1987Let \(-\Delta u=\gamma (x,y)+f(u)\) in \(\Omega\subset R^ 2\), where \(\Omega\) is a bounded domain with a smooth boundary \(\Gamma =\Gamma_ 1\cup \Gamma_ 2\). Assume that \(\gamma(x,y)\) is known. The functions \(f(u)\) and \(u(x,y)\) are to be recovered from the overposed boundary data \(\alpha(x,y)U_ N+\beta (x,y)u=g_ 1(x,y)\) on \(\Gamma_ 1\), \(u_
Pilant, Michael, Rundell, William
openaire +1 more source
Uniqueness for some semilinear elliptic inverse problems
jiip, 2001Abstract - The nonlinear term of a semilinear elliptic problem can be uniquely recovered, assuming that for each locally supported right-hand term of the PDE the trace of the corresponding solution is known.
openaire +2 more sources
An inverse problem for an elliptic equation
Applicable Analysis, 2016This paper discusses the question of determining an unknown coefficient a(z) in an elliptic partial differential equation arising from the equation of motion in a nonhomogeneous half plane from the Dirichlet-Neumann pair . We discuss the uniqueness of this determination.
openaire +1 more source
Inverse coefficient problems for nonlinear elliptic variational inequalities
Acta Mathematicae Applicatae Sinica, English Series, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yang, Run-Sheng, Ou, Yun-Hua
openaire +2 more sources
Numerical Solution Of Inverse Problem For Elliptic Pdes
International Journal of Computer Mathematics, 2003This work is concerned with computing the solution of the following inverse problem: Finding u and on D such that: $$\nabla \cdot (\rho \nabla u) = 0,\quad \hbox{on}\ D;$$ $$u = g,\quad \hbox{on}\ \partial D;\qquad \rho u_n = f,\quad \hbox{on}\ \partial D;$$ $$\rho (x_0, y_0) = \rho_0,\quad \hbox{for a given point}\ (x_0, y_0) \in D$$ where f and g ...
Ali Sayfy, Sadia Makky
openaire +1 more source
Inverse coefficient problems for elliptic equations in a cylinder: II
Differential Equations, 2013The author studies sufficient conditions for the unique solvability of the inverse coefficient problem. There are obtained various global sufficient conditions in the form of constraints on the signs of the given functions and their derivatives. As a corollary, there are proved statements of inverse coefficient problems with overdetermination on the ...
openaire +1 more source
Solution of elliptic inverse problems using integral equations
International Journal of Applied Electromagnetics and Mechanics, 2006The solution of inverse boundary problems are considered. One must determine the coefficients or functions of elliptic differential equations inside the domain Ω from a knowledge of boundary conditions (the Cauchy data) on the boundary ∂Ω. The algorithms for the numerical solution of such problems are presented.
openaire +1 more source
A class of inverse problems for elliptic equations
Siberian Mathematical Journal, 1991The author first considers the problem of seeking a pair of function (u.q) satisfying the following conditions: \[ (1)\quad Au+pg+f,\quad q_{x_ n}=0\quad on\quad \Omega,\quad u=g\quad on\quad \partial \Omega,\quad u_{x_ n}=h\quad on\quad D_ 0 \] where A is the following linear elliptic operator \[ Au=-\sum^{n- 1}_{j,k=1}a^{jk}u_{x_ jx_ k}-u_{x_ nx_ n}+\
openaire +3 more sources
Navigating financial toxicity in patients with cancer: A multidisciplinary management approach
Ca-A Cancer Journal for Clinicians, 2022Grace Li Smith +2 more
exaly