The volume potential for elliptic differential operators in Schauder spaces

Fuente: arXiv
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Autore principale: de Cristoforis, M. Lanza
Natura: Preprint
Pubblicazione: 2024
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author de Cristoforis, M. Lanza
author_facet de Cristoforis, M. Lanza
contents The aim of this paper is to prove continuity results for the volume potential corresponding to the fundamental solution of a second order differential operator with constant coefficients in Schauder spaces of negative exponent and to generalize some classical results in Schauder spaces of positive exponents.
format Preprint
id arxiv_https___arxiv_org_abs_2408_17192
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The volume potential for elliptic differential operators in Schauder spaces
de Cristoforis, M. Lanza
Analysis of PDEs
31B10, 35J25. 31B10, 35J25. 31B10, 35J25. 31B10, 35J25
The aim of this paper is to prove continuity results for the volume potential corresponding to the fundamental solution of a second order differential operator with constant coefficients in Schauder spaces of negative exponent and to generalize some classical results in Schauder spaces of positive exponents.
title The volume potential for elliptic differential operators in Schauder spaces
topic Analysis of PDEs
31B10, 35J25. 31B10, 35J25. 31B10, 35J25. 31B10, 35J25
url https://arxiv.org/abs/2408.17192