Parabolic Partial Differential Equations as Inverse Moments Problem

We considerer parabolic partial differential equations w<SUB>t</SUB> − (w<SUB>x</SUB>)<SUB>x</SUB> = r (x,t) under the conditions w<SUB>x</SUB> (a<SUB>1</SUB>, t) = k<SUB>1</SUB> (t) w<SUB>x</SUB> (b<SU...

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Autor principal: Pintarelli, María Beatriz
Formato: Articulo
Lenguaje:Inglés
Publicado: 2016
Materias:
Matemática
Parabolic PDEs
Freholm Integral Equations
Generalized Moment Problem
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/79327
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-79327
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
Parabolic PDEs
Freholm Integral Equations
Generalized Moment Problem
spellingShingle Matemática
Parabolic PDEs
Freholm Integral Equations
Generalized Moment Problem
Pintarelli, María Beatriz
Parabolic Partial Differential Equations as Inverse Moments Problem
topic_facet Matemática
Parabolic PDEs
Freholm Integral Equations
Generalized Moment Problem
description We considerer parabolic partial differential equations w<SUB>t</SUB> − (w<SUB>x</SUB>)<SUB>x</SUB> = r (x,t) under the conditions w<SUB>x</SUB> (a<SUB>1</SUB>, t) = k<SUB>1</SUB> (t) w<SUB>x</SUB> (b<SUB>1</SUB>, t) = k<SUB>2</SUB> (t) w (x, a<SUB>2</SUB>) = h<SUB>1</SUB> (t) w (x, b<SUB>2</SUB>) = h<SUB>2</SUB> (t) on a region E = (a<SUB>1</SUB>, b<SUB>1</SUB>) (a<SUB>2</SUB>, b<SUB>2</SUB>). 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.
format Articulo
Articulo
author Pintarelli, María Beatriz
author_facet Pintarelli, María Beatriz
author_sort Pintarelli, María Beatriz
title Parabolic Partial Differential Equations as Inverse Moments Problem
title_short Parabolic Partial Differential Equations as Inverse Moments Problem
title_full Parabolic Partial Differential Equations as Inverse Moments Problem
title_fullStr Parabolic Partial Differential Equations as Inverse Moments Problem
title_full_unstemmed Parabolic Partial Differential Equations as Inverse Moments Problem
title_sort parabolic partial differential equations as inverse moments problem
publishDate 2016
url http://sedici.unlp.edu.ar/handle/10915/79327
work_keys_str_mv AT pintarellimariabeatriz parabolicpartialdifferentialequationsasinversemomentsproblem
bdutipo_str Repositorios
_version_ 1764820486603145216

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