Pintarelli, M.B. (2015) Linear Partial Differential Equations of First Order as Bi-Dimensional Inverse Moment Problem. Applied Mathematics, 6, 979-989.
https://doi.org/10.4236/am.2015.66090

has been cited by the following article:

• TITLE: Coefficient Determination in Parabolic Equations Solved as a Moment Problem Two-Dimensional in a Rectangular Domain

  AUTHORS: Maria B. Pintarelli

  KEYWORDS: Generalized Moment Problem, Integral Equations, Inverse Problem, Parabolic PDEs, Truncated Expansion Method

  JOURNAL NAME: Applied Mathematics, Vol.9 No.3, March 26, 2018

  ABSTRACT: The problem is to considerer a parabolic equation depending on a coefficient a (t), and find the solution of the equation and the coefficient. The objective is to solve the problem as an application of the inverse moment problem. An approximate solution and limits will be found for the error of the estimated solution using the techniques of inverse problem moments. In addition, the method is illustrated with several examples.