Linear Partial Differential Equations of First Order as Bi-Dimensional Inverse Moments Problem

• 作者: Maria Beatriz Pintarelli
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Linear PDES Freholm INTEGRAL Equations Generalized MOMENT PROBLEM
• 年，卷（期）: yysxyw_2015,（6）
• 页码范围: 979-989
• 页数: 11页
• 分类号: O1

摘要

We consider linear partial differential equations of first order on a region . We will see that we can write the equation in partial derivatives as an Fredholm integral equation of the first kind and will solve this latter with the techniques of inverse problem moments. We will find an approximated solution and bounds for the error of the estimated solution using the techniques on problem of moments.