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

We consider linear partial differential equations of first order a(x,t)wx(x,t)+b(x,t)w1(x,t)=h(x,t)w(x,t)+r(x,t) on a region E=(a1, b1)x(a2,b2). 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 te...

Descripción completa

Detalles Bibliográficos
Autor principal: Pintarelli, María Beatriz
Formato: Articulo
Lenguaje:Inglés
Publicado: 2015
Materias:
Matemática
Linear PDEs
Freholm Integral Equations
Generalized Moment Problem
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/81098
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-81098
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
Linear PDEs
Freholm Integral Equations
Generalized Moment Problem
spellingShingle Matemática
Linear PDEs
Freholm Integral Equations
Generalized Moment Problem
Pintarelli, María Beatriz
Linear Partial Differential Equations of First Order as Bi-Dimensional Inverse Moments Problem
topic_facet Matemática
Linear PDEs
Freholm Integral Equations
Generalized Moment Problem
description We consider linear partial differential equations of first order a(x,t)wx(x,t)+b(x,t)w1(x,t)=h(x,t)w(x,t)+r(x,t) on a region E=(a1, b1)x(a2,b2). 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.
format Articulo
Articulo
author Pintarelli, María Beatriz
author_facet Pintarelli, María Beatriz
author_sort Pintarelli, María Beatriz
title Linear Partial Differential Equations of First Order as Bi-Dimensional Inverse Moments Problem
title_short Linear Partial Differential Equations of First Order as Bi-Dimensional Inverse Moments Problem
title_full Linear Partial Differential Equations of First Order as Bi-Dimensional Inverse Moments Problem
title_fullStr Linear Partial Differential Equations of First Order as Bi-Dimensional Inverse Moments Problem
title_full_unstemmed Linear Partial Differential Equations of First Order as Bi-Dimensional Inverse Moments Problem
title_sort linear partial differential equations of first order as bi-dimensional inverse moments problem
publishDate 2015
url http://sedici.unlp.edu.ar/handle/10915/81098
work_keys_str_mv AT pintarellimariabeatriz linearpartialdifferentialequationsoffirstorderasbidimensionalinversemomentsproblem
bdutipo_str Repositorios
_version_ 1764820487344488449

Ejemplares similares