Nonsmooth Pseudodifferential Boundary Value Problems on Manifolds

Autor:	Helmut Abels, Carolina Neira Jiménez
Rok vydání:	2017
Předmět:	Pure mathematics Partial differential equation 35S15 35J55 Applied Mathematics 010102 general mathematics Boundary (topology) Context (language use) Operator theory Mathematics::Spectral Theory 01 natural sciences Functional Analysis (math.FA) Mathematics - Functional Analysis 010101 applied mathematics Mathematics - Analysis of PDEs Mathematics::K-Theory and Homology FOS: Mathematics Order (group theory) Boundary value problem 0101 mathematics Algebra over a field Invariant (mathematics) Mathematics::Symplectic Geometry Analysis Mathematics Analysis of PDEs (math.AP)
DOI:	10.48550/arxiv.1709.04157
Popis:	We study pseudodifferential boundary value problems in the context of the Boutet de Monvel calculus or Green operators, with nonsmooth coefficients on smooth compact manifolds with boundary. In order to have a definition that is independent of the choice of (smooth) coordinates, we prove that nonsmooth Green operators are invariant under smooth coordinate transformations. Comment: 32 pages
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0d3715382ae8f1c6ebe7217c929848b8 Zobrazit plný text záznamu