MARC details
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02439nam a2200241 a 4500 |
| 001 - CONTROL NUMBER |
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50748 |
| 003 - CONTROL NUMBER IDENTIFIER |
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0000000000 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20240411193246.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
230302n s 000 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783030893972 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Seifert, Christian. |
| 245 10 - TITLE STATEMENT |
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| Title |
Evolutionary equations |
| Medium |
[electronic resource] : |
| Remainder of title |
Picard's theorem for partial differential equations, and applications / |
| Statement of responsibility, etc. |
Christian Seifert, Sascha Trostorff, Marcus Waurick. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
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| Place of publication, distribution, etc. |
Cham: : |
| Name of publisher, distributor, etc. |
Birkhäuser, |
| Date of publication, distribution, etc. |
2022. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
1 online resource. |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Introduction Unbounded Operators The Time Derivative Ordinary Differential Equations The Fourier-Laplace Transformation and Material Law Operators Solution Theory for Evolutionary Equations Examples of Evolutionary Equations Causality and a Theorem of Paley and Wiener Initial Value Problems and Extrapolation Spaces Differential Algebraic Equations Exponential Stability of Evolutionary Equations Boundary Value Problems and Boundary Value Spaces Continuous Dependence on the Coefficients I Continuous Dependence on the Coefficients II. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc. |
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. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Differential equations, Partial. |
| Source of heading or term |
sears |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Evolution equations. |
| Source of heading or term |
sears |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Trostorff, Sascha, |
| Relator term |
Author. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Waurick, Marcus, |
| Relator term |
Author. |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
<a href="https://drive.google.com/file/d/1BaikFFrgsk5frj6UM9GapHfDp8vSXpa2/view?usp=sharing">https://drive.google.com/file/d/1BaikFFrgsk5frj6UM9GapHfDp8vSXpa2/view?usp=sharing</a> |
