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Reaction-diffusion systems governed by non-autonomous forms

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Publication:1704546
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DOI10.1016/J.JDE.2018.01.035zbMath1391.35215OpenAlexW2793324481MaRDI QIDQ1704546

Dominik Dier, Wolfgang Arendt

Publication date: 12 March 2018

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2018.01.035


zbMATH Keywords

reaction-diffusion equationsmaximal regularitysesquilinear formsnon-autonomous evolution equations


Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Reaction-diffusion equations (35K57) Initial value problems for second-order parabolic systems (35K45)





Cites Work

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  • Invariance of closed convex sets and domination criteria for semigroups
  • Ordinary differential equations and dynamic systems.
  • The spectrum of an infinite graph
  • Non-autonomous maximal regularity in Hilbert spaces
  • Semigroup methods for evolution equations on networks
  • Unbounded Laplacians on Graphs: Basic Spectral Properties and the Heat Equation
  • Invariance of convex sets for non-autonomous evolution equations governed by forms




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