Nonlinear parabolic evolution equations in critical spaces

Book chapter (2023)

Authors

Tuomas Hytönen Viikki Biocenter 1
J.M.A.M. van Neerven Analysis - EEMCS
M.C. Veraar Analysis - EEMCS
L Weis Karlsruhe Institut für Technologie
Research Group
Analysis (EEMCS) (TU Delft)
Copyright: © 2023 Tuomas Hytönen, J.M.A.M. van Neerven, M.C. Veraar, Lutz Weis
DOI: https://doi.org/10.1007/978-3-031-46598-7_8
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Published Date

2023

Language

English

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Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Analysis

Abstract

As we have seen in the preceding sections, in the context of inhomogeneous linear evolution equations, maximal regularity enables one to set up an isomorphism between the space of data (initial value and inhomogeneity) and the solution space.