Hilbert space methods for partial differential equations
This book is an outgrowth of a course which we have given almost periodically over the last eight years. It is addressed to beginning graduate students of mathematics, engineering, and the physical sciences. Thus, we have attempted to present it while presupposing a minimal background: the reader is...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
1994-09-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Monographs/01/abstr.html |
| _version_ | 1819179383042080768 |
|---|---|
| author | Ralph E. Showalter |
| author_facet | Ralph E. Showalter |
| author_sort | Ralph E. Showalter |
| collection | DOAJ |
| description | This book is an outgrowth of a course which we have given almost periodically over the last eight years. It is addressed to beginning graduate students of mathematics, engineering, and the physical sciences. Thus, we have attempted to present it while presupposing a minimal background: the reader is assumed to have some prior acquaintance with the concepts of ``linear'' and ``continuous'' and also to believe $L^2$ is complete. An undergraduate mathematics training through Lebesgue integration is an ideal background but we dare not assume it without turning away many of our best students. The formal prerequisite consists of a good advanced calculus course and a motivation to study partial differential equations. |
| first_indexed | 2024-12-22T21:57:34Z |
| format | Article |
| id | doaj.art-8722c783807a4d8b8aa0ff3fd7c8ac06 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-22T21:57:34Z |
| publishDate | 1994-09-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-8722c783807a4d8b8aa0ff3fd7c8ac062022-12-21T18:11:13ZengTexas State UniversityElectronic Journal of Differential Equations1072-66911994-09-01Monograph011214Hilbert space methods for partial differential equationsRalph E. ShowalterThis book is an outgrowth of a course which we have given almost periodically over the last eight years. It is addressed to beginning graduate students of mathematics, engineering, and the physical sciences. Thus, we have attempted to present it while presupposing a minimal background: the reader is assumed to have some prior acquaintance with the concepts of ``linear'' and ``continuous'' and also to believe $L^2$ is complete. An undergraduate mathematics training through Lebesgue integration is an ideal background but we dare not assume it without turning away many of our best students. The formal prerequisite consists of a good advanced calculus course and a motivation to study partial differential equations.http://ejde.math.txstate.edu/Monographs/01/abstr.htmlHilbert spaceSobolev spacesboundary value problemsevolution equations. |
| spellingShingle | Ralph E. Showalter Hilbert space methods for partial differential equations Electronic Journal of Differential Equations Hilbert space Sobolev spaces boundary value problems evolution equations. |
| title | Hilbert space methods for partial differential equations |
| title_full | Hilbert space methods for partial differential equations |
| title_fullStr | Hilbert space methods for partial differential equations |
| title_full_unstemmed | Hilbert space methods for partial differential equations |
| title_short | Hilbert space methods for partial differential equations |
| title_sort | hilbert space methods for partial differential equations |
| topic | Hilbert space Sobolev spaces boundary value problems evolution equations. |
| url | http://ejde.math.txstate.edu/Monographs/01/abstr.html |
| work_keys_str_mv | AT ralpheshowalter hilbertspacemethodsforpartialdifferentialequations |