Solving linear partial differential equations: spectra
"Partial differential equations arise in many branches of science and they vary in many ways. No one method can be used to solve all of them, and only a small percentage have been solved. This book examines the general linear partial differential equation of arbitrary order m. Even this involve...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific
[2021]
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | "Partial differential equations arise in many branches of science and they vary in many ways. No one method can be used to solve all of them, and only a small percentage have been solved. This book examines the general linear partial differential equation of arbitrary order m. Even this involves more methods than are known. We ask a simple question: when can an equation be solved and how many solutions does it have? The answer is surprising even for equations with constant coefficients. We begin with these equations, first finding conditions which allow one to solve and obtain a finite number of solutions. It is then shown how to obtain those solutions by analyzing the structure of the equation very carefully. A substantial part of the book is devoted to this. Then we tackle the more difficult problem of considering equations with variable coefficients. A large number of such equations are solved by comparing them to equations with constant coefficients. In numerous applications in the sciences, students and researchers are required to solve such equations in order to get the answers that they need. In many cases, the basic scientific theory requires the resulting partial differential equation to have a solution, and one is required to know how many solutions exist. This book deals with such situations"--Publisher's website |
| Beschreibung: | 1 Online-Ressource (xv, 390 Seiten) |
| ISBN: | 9789811216312 9811216312 |
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| 520 | |a "Partial differential equations arise in many branches of science and they vary in many ways. No one method can be used to solve all of them, and only a small percentage have been solved. This book examines the general linear partial differential equation of arbitrary order m. Even this involves more methods than are known. We ask a simple question: when can an equation be solved and how many solutions does it have? The answer is surprising even for equations with constant coefficients. We begin with these equations, first finding conditions which allow one to solve and obtain a finite number of solutions. It is then shown how to obtain those solutions by analyzing the structure of the equation very carefully. A substantial part of the book is devoted to this. Then we tackle the more difficult problem of considering equations with variable coefficients. A large number of such equations are solved by comparing them to equations with constant coefficients. In numerous applications in the sciences, students and researchers are required to solve such equations in order to get the answers that they need. In many cases, the basic scientific theory requires the resulting partial differential equation to have a solution, and one is required to know how many solutions exist. This book deals with such situations"--Publisher's website | ||
| 650 | 4 | |a Differential equations, Partial | |
| 650 | 4 | |a Differential equations, Linear | |
| 650 | 4 | |a Spectral theory (Mathematics) | |
| 650 | 4 | |a Operator theory | |
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Datensatz im Suchindex
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|---|---|
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| any_adam_object | |
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| author | Schechter, Martin 1930- |
| author_GND | (DE-588)1042649022 |
| author_facet | Schechter, Martin 1930- |
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| author_sort | Schechter, Martin 1930- |
| author_variant | m s ms |
| building | Verbundindex |
| bvnumber | BV047124322 |
| collection | ZDB-124-WOP |
| ctrlnum | (ZDB-124-WOP)00011714 (OCoLC)1237587019 (DE-599)BVBBV047124322 |
| dewey-full | 515.353 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.353 |
| dewey-search | 515.353 |
| dewey-sort | 3515.353 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV047124322 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T16:30:25Z |
| indexdate | 2024-07-10T09:03:18Z |
| institution | BVB |
| isbn | 9789811216312 9811216312 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032530562 |
| oclc_num | 1237587019 |
| open_access_boolean | |
| owner | DE-83 |
| owner_facet | DE-83 |
| physical | 1 Online-Ressource (xv, 390 Seiten) |
| psigel | ZDB-124-WOP |
| publishDate | 2021 |
| publishDateSearch | 2021 |
| publishDateSort | 2021 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Schechter, Martin 1930- Verfasser (DE-588)1042649022 aut Solving linear partial differential equations spectra by Martin Schechter Singapore World Scientific [2021] © 2021 1 Online-Ressource (xv, 390 Seiten) txt rdacontent c rdamedia cr rdacarrier "Partial differential equations arise in many branches of science and they vary in many ways. No one method can be used to solve all of them, and only a small percentage have been solved. This book examines the general linear partial differential equation of arbitrary order m. Even this involves more methods than are known. We ask a simple question: when can an equation be solved and how many solutions does it have? The answer is surprising even for equations with constant coefficients. We begin with these equations, first finding conditions which allow one to solve and obtain a finite number of solutions. It is then shown how to obtain those solutions by analyzing the structure of the equation very carefully. A substantial part of the book is devoted to this. Then we tackle the more difficult problem of considering equations with variable coefficients. A large number of such equations are solved by comparing them to equations with constant coefficients. In numerous applications in the sciences, students and researchers are required to solve such equations in order to get the answers that they need. In many cases, the basic scientific theory requires the resulting partial differential equation to have a solution, and one is required to know how many solutions exist. This book deals with such situations"--Publisher's website Differential equations, Partial Differential equations, Linear Spectral theory (Mathematics) Operator theory Lineare partielle Differentialgleichung (DE-588)4167708-0 gnd rswk-swf Lineare partielle Differentialgleichung (DE-588)4167708-0 s DE-604 Erscheint auch als Druck-Ausgabe 978-981-121-630-5 https://www.worldscientific.com/worldscibooks/10.1142/11714#t=toc Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Schechter, Martin 1930- Solving linear partial differential equations spectra Differential equations, Partial Differential equations, Linear Spectral theory (Mathematics) Operator theory Lineare partielle Differentialgleichung (DE-588)4167708-0 gnd |
| subject_GND | (DE-588)4167708-0 |
| title | Solving linear partial differential equations spectra |
| title_auth | Solving linear partial differential equations spectra |
| title_exact_search | Solving linear partial differential equations spectra |
| title_exact_search_txtP | Solving linear partial differential equations spectra |
| title_full | Solving linear partial differential equations spectra by Martin Schechter |
| title_fullStr | Solving linear partial differential equations spectra by Martin Schechter |
| title_full_unstemmed | Solving linear partial differential equations spectra by Martin Schechter |
| title_short | Solving linear partial differential equations |
| title_sort | solving linear partial differential equations spectra |
| title_sub | spectra |
| topic | Differential equations, Partial Differential equations, Linear Spectral theory (Mathematics) Operator theory Lineare partielle Differentialgleichung (DE-588)4167708-0 gnd |
| topic_facet | Differential equations, Partial Differential equations, Linear Spectral theory (Mathematics) Operator theory Lineare partielle Differentialgleichung |
| url | https://www.worldscientific.com/worldscibooks/10.1142/11714#t=toc |
| work_keys_str_mv | AT schechtermartin solvinglinearpartialdifferentialequationsspectra |