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Abstract

It has become apparent that the concept of families ofR-boundedoperators plays an important role in operator theory, in the theory of operator-valued Fourier multipliers, and also in maximal regularity of elliptic and parabolic problems. Although this theory is only of recent origin, already a number of nontrivial applications have been appeared and we expect that in the near future there will be many more.

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Clément, P., Prüss, J. (2003). Some Remarks on Maximal Regularity of Parabolic Problems. In: Iannelli, M., Lumer, G. (eds) Evolution Equations: Applications to Physics, Industry, Life Sciences and Economics. Progress in Nonlinear Differential Equations and Their Applications, vol 55. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8085-5_7

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  • DOI: https://doi.org/10.1007/978-3-0348-8085-5_7

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9433-3

  • Online ISBN: 978-3-0348-8085-5

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