Evolutionary Equations : Picard's Theorem for Partial Differential Equations, and Applications
Publication year: 2022
ISBN: 978-3-030-89397-2
Internet Resource: Please Login to download book
This 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.
Subject: Mathematics and Statistics, Analysis, 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, Coupled Systems, Causality
