Non linear second order partial differential equations as generalized inverse moment problems

被引：1

作者：

Betriz Pintarelli, Maria ^{[1
,2
]}

Vericat, Fernando ^{[1
,3
]}

机构：

[1] UNLP, GAMEFI, La Plata, Buenos Aires, Argentina

[2] Univ Nacl La Plata, Dept Matemat, La Plata, Buenos Aires, Argentina

[3] UNLP, CONICET La Plata, Inst Fis Liquidos & Sistemas Biol IFLYSIB, La Plata, Buenos Aires, Argentina

来源：

JOURNAL OF INTERDISCIPLINARY MATHEMATICS | 2018年 / 21卷 / 01期

关键词：

Nonlinear PDEs; Fredholm integral equations; generalized moment problem;

D O I：

10.1080/09720502.2014.962823

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

General forms for non linear elliptic, hyperbolic and parabolic partial differential equations are considered. For all these we present a general procedure that transforms they into a Fredholm integral equation of the first kind. The resulting integral equations are then handled as a generalized moment problem. An inversion algorithm as well as conditions for the stability for the solution of this last are given. Some examples show the accuracy of the inversion method.

引用

页码：59 / 81

页数：23

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