Evolutionary Equations

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...

সম্পূর্ণ বিবরণ

সংরক্ষণ করুন:
গ্রন্থ-পঞ্জীর বিবরন
প্রধান লেখক: Seifert, Christian, Trostorff, Sascha, Waurick, Marcus
বিন্যাস: Online
ভাষা:ইংরেজি
প্রকাশিত: Springer Nature 2022
বিষয়গুলি:
অনলাইন ব্যবহার করুন:ONIX_20220214_9783030893972_15
ট্যাগগুলো: ট্যাগ যুক্ত করুন
কোনো ট্যাগ নেই, প্রথমজন হিসাবে ট্যাগ করুন!
_version_ 1869517260684525568
author Seifert, Christian
Trostorff, Sascha
Waurick, Marcus
author_browse Seifert, Christian
Trostorff, Sascha
Waurick, Marcus
author_facet Seifert, Christian
Trostorff, Sascha
Waurick, Marcus
author_sort Seifert, Christian
collection Directory of Open Access Books
description 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.
format Online
id doab-20.500.12854ir-78269
institution Directory of Open Access Books
language eng
publishDate 2022
publishDateRange 2022
publishDateSort 2022
publisher Springer Nature
publisherStr Springer Nature
record_format ojs
spelling doab-20.500.12854ir-782692025-07-30T11:56:39Z Evolutionary Equations Seifert, Christian Trostorff, Sascha Waurick, Marcus Open Access Evolutionary equations Maxwell's equations Initial Boundary Value Problems Mathematical Physics Hilbert space approach Heat Equation Wave Equation Elasticity Differential Algebraic Equations Exponential Stability Homogenisation Evolutionary Inclusions Time-dependent partial differential equations Coupled Systems Causality thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis 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. 2022-02-15T04:02:04Z 2022-02-15T04:02:04Z 2022-02-14T21:18:16Z 2022 book ONIX_20220214_9783030893972_15 OCN: 1296375369 https://library.oapen.org/handle/20.500.12657/52841 9783030893972 https://directory.doabooks.org/handle/20.500.12854/78269 eng Operator Theory: Advances and Applications open access image/jpeg image/jpeg image/jpeg n/a n/a n/a https://library.oapen.org/bitstream/20.500.12657/52841/1/978-3-030-89397-2.pdf https://library.oapen.org/bitstream/20.500.12657/52841/1/978-3-030-89397-2.pdf https://library.oapen.org/bitstream/20.500.12657/52841/1/978-3-030-89397-2.pdf Springer Nature Birkhäuser 10.1007/978-3-030-89397-2 10.1007/978-3-030-89397-2 9fa3421d-f917-4153-b9ab-fc337c396b5a 09f7baf4-6c45-4a04-9e65-42a381ee088c 9783030893972 Birkhäuser 317 Cham [grantnumber unknown] open access
spellingShingle Open Access
Evolutionary equations
Maxwell's equations
Initial Boundary Value Problems
Mathematical Physics
Hilbert space approach
Heat Equation
Wave Equation
Elasticity
Differential Algebraic Equations
Exponential Stability
Homogenisation
Evolutionary Inclusions
Time-dependent partial differential equations
Coupled Systems
Causality
thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis
thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis
Seifert, Christian
Trostorff, Sascha
Waurick, Marcus
Evolutionary Equations
title Evolutionary Equations
title_full Evolutionary Equations
title_fullStr Evolutionary Equations
title_full_unstemmed Evolutionary Equations
title_short Evolutionary Equations
title_sort evolutionary equations
topic Open Access
Evolutionary equations
Maxwell's equations
Initial Boundary Value Problems
Mathematical Physics
Hilbert space approach
Heat Equation
Wave Equation
Elasticity
Differential Algebraic Equations
Exponential Stability
Homogenisation
Evolutionary Inclusions
Time-dependent partial differential equations
Coupled Systems
Causality
thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis
thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis
topic_facet Open Access
Evolutionary equations
Maxwell's equations
Initial Boundary Value Problems
Mathematical Physics
Hilbert space approach
Heat Equation
Wave Equation
Elasticity
Differential Algebraic Equations
Exponential Stability
Homogenisation
Evolutionary Inclusions
Time-dependent partial differential equations
Coupled Systems
Causality
thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis
thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis
url ONIX_20220214_9783030893972_15
work_keys_str_mv AT seifertchristian evolutionaryequations
AT trostorffsascha evolutionaryequations
AT waurickmarcus evolutionaryequations