Parabolic Partial Differential Equations as Inverse Moments Problem  

作　　者：Maria B. Pintarelli Maria B. Pintarelli(Grupo de Aplicaciones Matematicas y Estadisticas de la Facultad de Ingenieria (GAMEFI), Universidad Nacional de La Plata (UNLP), La Plata, Argentina;Departamento de Matematica, Facultad de Ciencias Exactas, Universidad Nacional de La Plata (UNLP), La Plata, Argentina)

机构地区：[1]Grupo de Aplicaciones Matematicas y Estadisticas de la Facultad de Ingenieria (GAMEFI), Universidad Nacional de La Plata (UNLP), La Plata, Argentina [2]Departamento de Matematica, Facultad de Ciencias Exactas, Universidad Nacional de La Plata (UNLP), La Plata, Argentina

出　　处：《Applied Mathematics》2016年第1期77-99,共14页应用数学（英文）

摘　　要：We considerer parabolic partial differential equations under the conditions on a region . We will see that we can write the equation in partial derivatives as an Fredholm integral equation of first kind and will solve this latter with the techniques of inverse moments problem. We will find an approximated solution and bounds for the error of the estimated solution using the techniques on moments problem. Also we consider the one- dimensional one-phase inverse Stefan problem.We considerer parabolic partial differential equations under the conditions on a region . We will see that we can write the equation in partial derivatives as an Fredholm integral equation of first kind and will solve this latter with the techniques of inverse moments problem. We will find an approximated solution and bounds for the error of the estimated solution using the techniques on moments problem. Also we consider the one- dimensional one-phase inverse Stefan problem.

关 键 词：Parabolic PDEs Freholm Integral Equations Generalized Moment Problem 

分 类 号：O17[理学—数学]