Inverse source problems in Poisson’s equations SABUROU SAITOH (fi rk $\underline{=} $ $\Re $) Abstract –In the Poisson’s equations $\Delta u=-\rho(r) $ on $R^{1}, $ $R^{2} $ and $R^{3}$ for $L_{2}(dr) $ functions $\rho $ , the natural and fundamental inverse formulas representing $\rho $ in terms of the values of $u $ in the outsides of supports of $\rho $ are established. 1
Riemann and others have used the Poisson summation formula to prove Riemann’s functional equation. T...
AbstractLet u∈W1,p∩W01,p, 1⩽p⩽∞ be a solution of the Poisson equation Δu=h, h∈Lp, in the unit disk. ...
AbstractAn inverse source problem of the Poisson equation is discussed with a boundary element appro...
The inverse and ill-posed problem of reconstructing the unknown support of a source in the Poisson e...
In the paper we consider a stationary diffusion problem described by the Poisson equation. The probl...
Abstract. An inverse source problem for the Poisson equation is looked at in this article. This is a...
We introduce a new approach to the anisotropic Calderón problem, based on a map called Poisson embed...
The numerical solution of the bi-dimensional nonlinear Poisson equations under Cauchy boundary condi...
AbstractThis article presents a mathematical analysis of input–output mappings in inverse coefficien...
Poisson integral formula is revisited. The kernel in the Poisson integral formula can be derived in ...
In this paper, we discuss an inverse problem for the Vlasov-Poisson system. We prove local uniquenes...
The paper presents two methods of solving the Poisson equation. One is based on the multiple recipro...
This paper deals with an inverse problem for identifying an unknown source which depends only on one...
Abstract: The application of the method of fundamental solutions (MFS) to inverse bound-ary value pr...
We obtain a formula for the solution of the Poisson equation with Dirichlet boundary condition on a...
Riemann and others have used the Poisson summation formula to prove Riemann’s functional equation. T...
AbstractLet u∈W1,p∩W01,p, 1⩽p⩽∞ be a solution of the Poisson equation Δu=h, h∈Lp, in the unit disk. ...
AbstractAn inverse source problem of the Poisson equation is discussed with a boundary element appro...
The inverse and ill-posed problem of reconstructing the unknown support of a source in the Poisson e...
In the paper we consider a stationary diffusion problem described by the Poisson equation. The probl...
Abstract. An inverse source problem for the Poisson equation is looked at in this article. This is a...
We introduce a new approach to the anisotropic Calderón problem, based on a map called Poisson embed...
The numerical solution of the bi-dimensional nonlinear Poisson equations under Cauchy boundary condi...
AbstractThis article presents a mathematical analysis of input–output mappings in inverse coefficien...
Poisson integral formula is revisited. The kernel in the Poisson integral formula can be derived in ...
In this paper, we discuss an inverse problem for the Vlasov-Poisson system. We prove local uniquenes...
The paper presents two methods of solving the Poisson equation. One is based on the multiple recipro...
This paper deals with an inverse problem for identifying an unknown source which depends only on one...
Abstract: The application of the method of fundamental solutions (MFS) to inverse bound-ary value pr...
We obtain a formula for the solution of the Poisson equation with Dirichlet boundary condition on a...
Riemann and others have used the Poisson summation formula to prove Riemann’s functional equation. T...
AbstractLet u∈W1,p∩W01,p, 1⩽p⩽∞ be a solution of the Poisson equation Δu=h, h∈Lp, in the unit disk. ...
AbstractAn inverse source problem of the Poisson equation is discussed with a boundary element appro...