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2018 | OriginalPaper | Chapter

4. Strongest Convergence Results for Weak Solutions of Non-autonomous Reaction-Diffusion Equations with Carathéodory’s Nonlinearity

Authors : Michael Z. Zgurovsky, Pavlo O. Kasyanov

Published in: Qualitative and Quantitative Analysis of Nonlinear Systems

Publisher: Springer International Publishing

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Abstract

In this chapter we consider the problem of uniform convergence results for all globally defined weak solutions of non-autonomous reaction-diffusion system with Carathéodory’s nonlinearity satisfying standard sign and polynomial growth assumptions. The main contributions of this chapter are: the uniform convergence results for all globally defined weak solutions of non-autonomous reaction-diffusion equations with Carathéodory’s nonlinearity and sufficient conditions for the convergence of weak solutions in strongest topologies.

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previous chapter Advances in the 3D Navier-Stokes Equations

next chapter Strongest Convergence Results for Weak Solutions of Feedback Control Problems

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Title: Strongest Convergence Results for Weak Solutions of Non-autonomous Reaction-Diffusion Equations with Carathéodory’s Nonlinearity
Authors: Michael Z. Zgurovsky
Pavlo O. Kasyanov
Publisher: Springer International Publishing
Book: Qualitative and Quantitative Analysis of Nonlinear Systems
Print ISBN: 978-3-319-59839-0

Electronic ISBN: 978-3-319-59840-6

Copyright Year: 2018
DOI: https://doi.org/10.1007/978-3-319-59840-6_4

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