Brief introduction to distributions and to Hörmander spaces Bp,k
Partial differential equations (PDE’s) are, we believe, little known in our country, especially at a medium-advanced level, in particular, their historical roots and methods developed in their evolution. The objective of this article is to contribute to a knowledge in this direction especially to co...
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| Format: | Article |
| Language: | Spanish |
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Universidad Nacional de Trujillo
2024-12-01
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| Series: | Selecciones Matemáticas |
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| Online Access: | https://revistas.unitru.edu.pe/index.php/SSMM/article/view/6161 |
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| author | Alejandro Ortiz Fernández |
| author_facet | Alejandro Ortiz Fernández |
| author_sort | Alejandro Ortiz Fernández |
| collection | DOAJ |
| description | Partial differential equations (PDE’s) are, we believe, little known in our country, especially at a medium-advanced level, in particular, their historical roots and methods developed in their evolution. The objective of this article is to contribute to a knowledge in this direction especially to colleagues and students who are interested in studying and researching in this central Branch of mathematics. As a model we have chosen H¨ormander’s book, [1], whose study and teaching will be a sign of great progress in this direction in our country. In this article we only give an introduction to part I dedicated to functional analysis and which includes chapters I and II that deal with the theory of distributions and some special spaces of distributions, respectively. |
| format | Article |
| id | doaj-art-80876a15323640cb8a2dec5c0518355a |
| institution | DOAJ |
| issn | 2411-1783 |
| language | Spanish |
| publishDate | 2024-12-01 |
| publisher | Universidad Nacional de Trujillo |
| record_format | Article |
| series | Selecciones Matemáticas |
| spelling | doaj-art-80876a15323640cb8a2dec5c0518355a2025-08-20T02:43:15ZspaUniversidad Nacional de TrujilloSelecciones Matemáticas2411-17832024-12-01110232635610.17268/sel.mat.2024.02.09Brief introduction to distributions and to Hörmander spaces Bp,kAlejandro Ortiz Fernández0https://orcid.org/0000-0002-9380-4301Universidad Nacional de Trujillo, Pontificia Universidad Católica del Perú, PerúPartial differential equations (PDE’s) are, we believe, little known in our country, especially at a medium-advanced level, in particular, their historical roots and methods developed in their evolution. The objective of this article is to contribute to a knowledge in this direction especially to colleagues and students who are interested in studying and researching in this central Branch of mathematics. As a model we have chosen H¨ormander’s book, [1], whose study and teaching will be a sign of great progress in this direction in our country. In this article we only give an introduction to part I dedicated to functional analysis and which includes chapters I and II that deal with the theory of distributions and some special spaces of distributions, respectively.https://revistas.unitru.edu.pe/index.php/SSMM/article/view/6161weak solutionsobolev spacedistributiondirichlethörmander space |
| spellingShingle | Alejandro Ortiz Fernández Brief introduction to distributions and to Hörmander spaces Bp,k Selecciones Matemáticas weak solution sobolev space distribution dirichlet hörmander space |
| title | Brief introduction to distributions and to Hörmander spaces Bp,k |
| title_full | Brief introduction to distributions and to Hörmander spaces Bp,k |
| title_fullStr | Brief introduction to distributions and to Hörmander spaces Bp,k |
| title_full_unstemmed | Brief introduction to distributions and to Hörmander spaces Bp,k |
| title_short | Brief introduction to distributions and to Hörmander spaces Bp,k |
| title_sort | brief introduction to distributions and to hormander spaces bp k |
| topic | weak solution sobolev space distribution dirichlet hörmander space |
| url | https://revistas.unitru.edu.pe/index.php/SSMM/article/view/6161 |
| work_keys_str_mv | AT alejandroortizfernandez briefintroductiontodistributionsandtohormanderspacesbpk |