Evolutionary Equations Picard's Theorem for Partial Differential Equations, and Applications
This open access book provides a solution theory for time-dependent partial differential equations, which classically have not been accessible by a unified method. Instead of using sophisticated techniques and methods, the approach is elementary in the sense that only Hilbert space methods and some...
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| Other Authors: | , |
| Format: | Electronic Book Chapter |
| Language: | English |
| Published: |
Cham
Springer Nature
2022
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| Series: | Operator Theory: Advances and Applications
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| Subjects: | |
| Online Access: | DOAB: download the publication DOAB: description of the publication |
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| 100 | 1 | |a Seifert, Christian |4 auth | |
| 700 | 1 | |a Trostorff, Sascha |4 auth | |
| 700 | 1 | |a Waurick, Marcus |4 auth | |
| 245 | 1 | 0 | |a Evolutionary Equations |b Picard's Theorem for Partial Differential Equations, and Applications |
| 260 | |a Cham |b Springer Nature |c 2022 | ||
| 300 | |a 1 electronic resource (317 p.) | ||
| 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 Operator Theory: Advances and Applications | |
| 506 | 0 | |a Open Access |2 star |f Unrestricted online access | |
| 520 | |a This open access book provides a solution theory for time-dependent partial differential equations, which classically have not been accessible by a unified method. Instead of using sophisticated techniques and methods, the approach is elementary in the sense that only Hilbert space methods and some basic theory of complex analysis are required. Nevertheless, key properties of solutions can be recovered in an elegant manner. Moreover, the strength of this method is demonstrated by a large variety of examples, showing the applicability of the approach of evolutionary equations in various fields. Additionally, a quantitative theory for evolutionary equations is developed. The text is self-contained, providing an excellent source for a first study on evolutionary equations and a decent guide to the available literature on this subject, thus bridging the gap to state-of-the-art mathematical research. | ||
| 540 | |a Creative Commons |f by/4.0/ |2 cc |4 http://creativecommons.org/licenses/by/4.0/ | ||
| 546 | |a English | ||
| 650 | 7 | |a Calculus & mathematical analysis |2 bicssc | |
| 653 | |a Open Access | ||
| 653 | |a Evolutionary equations | ||
| 653 | |a Maxwell's equations | ||
| 653 | |a Initial Boundary Value Problems | ||
| 653 | |a Mathematical Physics | ||
| 653 | |a Hilbert space approach | ||
| 653 | |a Heat Equation | ||
| 653 | |a Wave Equation | ||
| 653 | |a Elasticity | ||
| 653 | |a Differential Algebraic Equations | ||
| 653 | |a Exponential Stability | ||
| 653 | |a Homogenisation | ||
| 653 | |a Evolutionary Inclusions | ||
| 653 | |a Time-dependent partial differential equations | ||
| 653 | |a Coupled Systems | ||
| 653 | |a Causality | ||
| 856 | 4 | 0 | |a www.oapen.org |u https://library.oapen.org/bitstream/20.500.12657/52841/1/978-3-030-89397-2.pdf |7 0 |z DOAB: download the publication |
| 856 | 4 | 0 | |a www.oapen.org |u https://directory.doabooks.org/handle/20.500.12854/78269 |7 0 |z DOAB: description of the publication |