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oapen-20.500.12657-528412022-02-15T02:49:58Z 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 bic Book Industry Communication::P Mathematics & science::PB Mathematics::PBK Calculus & 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. 2022-02-14T21:18:16Z 2022-02-14T21:18:16Z 2022 book ONIX_20220214_9783030893972_15 9783030893972 https://library.oapen.org/handle/20.500.12657/52841 eng Operator Theory: Advances and Applications application/pdf n/a 978-3-030-89397-2.pdf https://link.springer.com/978-3-030-89397-2 Springer Nature Birkhäuser 10.1007/978-3-030-89397-2 10.1007/978-3-030-89397-2 6c6992af-b843-4f46-859c-f6e9998e40d5 09f7baf4-6c45-4a04-9e65-42a381ee088c 9783030893972 Birkhäuser 287 317 Cham [grantnumber unknown] open access
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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.
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