Partial differential equations as three-dimensional inverse problem of moments

We considerer partial differential equations of second order, for example the Klein-Gordon equation, the Poisson equation, on a region E= (a<sub>1</sub>, b<sub>1</sub>)x(a<sub>2</sub>, b<sub>2</sub>)x(a<sub>3</sub>, b<sub>3</sub>...

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Autores principales: Pintarelli, María Beatriz, Vericat, Fernando
Formato: Articulo
Lenguaje:Inglés
Publicado: 2014
Materias:
Matemática
Partial differential equations
Fredholm integral equations
Generalized moment problem
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/101921
https://ri.conicet.gov.ar/11336/33885
http://www.davidpublisher.org/index.php/Home/Article/index?id=484.html
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-101921
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
Partial differential equations
Fredholm integral equations
Generalized moment problem
spellingShingle Matemática
Partial differential equations
Fredholm integral equations
Generalized moment problem
Pintarelli, María Beatriz
Vericat, Fernando
Partial differential equations as three-dimensional inverse problem of moments
topic_facet Matemática
Partial differential equations
Fredholm integral equations
Generalized moment problem
description We considerer partial differential equations of second order, for example the Klein-Gordon equation, the Poisson equation, on a region E= (a<sub>1</sub>, b<sub>1</sub>)x(a<sub>2</sub>, b<sub>2</sub>)x(a<sub>3</sub>, b<sub>3</sub>). We will see that with a common procedure in all cases, 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 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
Vericat, Fernando
author_facet Pintarelli, María Beatriz
Vericat, Fernando
author_sort Pintarelli, María Beatriz
title Partial differential equations as three-dimensional inverse problem of moments
title_short Partial differential equations as three-dimensional inverse problem of moments
title_full Partial differential equations as three-dimensional inverse problem of moments
title_fullStr Partial differential equations as three-dimensional inverse problem of moments
title_full_unstemmed Partial differential equations as three-dimensional inverse problem of moments
title_sort partial differential equations as three-dimensional inverse problem of moments
publishDate 2014
url http://sedici.unlp.edu.ar/handle/10915/101921
https://ri.conicet.gov.ar/11336/33885
http://www.davidpublisher.org/index.php/Home/Article/index?id=484.html
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