TY  - BOOK
AU  - Seifert,Christian
AU  - Trostorff,Sascha
AU  - Waurick,Marcus
TI  - Evolutionary Equations: Picard's Theorem for Partial Differential Equations, and Applications
T2  - Operator Theory: Advances and Applications
SN  - 978-3-030-89397-2
PY  - 2022///
CY  - Cham
PB  - Springer Nature
KW  - Calculus & mathematical analysis
KW  - bicssc
KW  - Causality
KW  - Coupled Systems
KW  - Differential Algebraic Equations
KW  - Elasticity
KW  - Evolutionary equations
KW  - Evolutionary Inclusions
KW  - Exponential Stability
KW  - Heat Equation
KW  - Hilbert space approach
KW  - Homogenisation
KW  - Initial Boundary Value Problems
KW  - Mathematical Physics
KW  - Maxwell's equations
KW  - Open Access
KW  - Time-dependent partial differential equations
KW  - Wave Equation
N1  - Open Access
N2  - 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
UR  - https://library.oapen.org/bitstream/id/a32b93b7-1596-4086-b62c-aac014c97af3/978-3-030-89397-2.pdf
UR  - https://library.oapen.org/handle/20.500.12657/52841
ER  -