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Solution of continuous nonlinear PDEs through order completion /
This work inaugurates a new and general solution method for arbitrary continuous nonlinear PDEs. The solution method is based on Dedekind order completion of usual spaces of smooth functions defined on domains in Euclidean spaces. However, the nonlinear PDEs dealt with need not satisfy any kind of m...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Amsterdam ; New York :
North-Holland,
1994.
|
| Colección: | North-Holland mathematics studies ;
181. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo Texto completo |
MARC
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| 100 | 1 | |a Oberguggenberger, Michael B. | |
| 245 | 1 | 0 | |a Solution of continuous nonlinear PDEs through order completion / |c Michael B. Oberguggenberger, Elem�er E. Rosinger. |
| 260 | |a Amsterdam ; |a New York : |b North-Holland, |c 1994. | ||
| 300 | |a 1 online resource (xvi, 432 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a North-Holland mathematics studies ; |v 181 | |
| 520 | |a This work inaugurates a new and general solution method for arbitrary continuous nonlinear PDEs. The solution method is based on Dedekind order completion of usual spaces of smooth functions defined on domains in Euclidean spaces. However, the nonlinear PDEs dealt with need not satisfy any kind of monotonicity properties. Moreover, the solution method is completely type independent. In other words, it does not assume anything about the nonlinear PDEs, except for the continuity of their left hand term, which includes the unkown function. Furthermore the right hand term of such nonlinear PDEs can in fact be given any discontinuous and measurable function. | ||
| 504 | |a Includes bibliographical references (pages 421-428) and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a pt. 1. General existence of solutions theory -- pt. 2. Applications to specific classes of nonlinear and linear PDEs -- pt. 3. Group invariance of global generalized solutions of nonlinear PDEs. | |
| 650 | 0 | |a Differential equations, Nonlinear |x Numerical solutions. | |
| 650 | 6 | |a �Equations diff�erentielles non lin�eaires |x Solutions num�eriques. |0 (CaQQLa)201-0027941 | |
| 650 | 7 | |a MATHEMATICS |x Differential Equations |x Partial. |2 bisacsh | |
| 650 | 7 | |a Differential equations, Nonlinear |x Numerical solutions |2 fast |0 (OCoLC)fst00893478 | |
| 650 | 1 | 7 | |a Parti�ele differentiaalvergelijkingen. |2 gtt |
| 650 | 1 | 7 | |a Niet-lineaire vergelijkingen. |2 gtt |
| 650 | 7 | |a Equations diff�erentielles non lin�eaires |x Solutions num�eriques. |2 ram | |
| 653 | 0 | |a Differential equations | |
| 700 | 1 | |a Rosinger, Elemer E. | |
| 776 | 0 | 8 | |i Print version: |a Oberguggenberger, Michael B. |t Solution of continuous nonlinear PDEs through order completion. |d Amsterdam ; New York : North-Holland, 1994 |z 0444820353 |z 9780444820358 |w (DLC) 94019266 |w (OCoLC)30546288 |
| 830 | 0 | |a North-Holland mathematics studies ; |v 181. | |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780444820358 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/publication?issn=03040208&volume=181 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/bookseries/03040208/181 |z Texto completo |