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Sum of Operators’ Method in Abstract Equations

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Partial Differential Equations and Functional Analysis

Part of the book series: Progress in Nonlinear Differential Equations and Their Applications ((PNLDE,volume 22))

Summary

The sum of operators’ method of P. Grisvard is described, together with its links to real interpolation spaces. We give a generalization of this which allows us to handle degenerate differential equations of parabolic type in abstract spaces. Various examples illustrate its range of application to partial differential equations.

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Author information

Authors and Affiliations

  1. Dipartimento di Matematica, Università di Bologna, 40127, Bologna, Italy

    Angelo Favini

Authors
  1. Angelo Favini
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Editor information

Editors and Affiliations

  1. Laboratoire de Mathématiques, University of Nice, F-06108, Nice Cedex, France

    Jean Cea  & Denise Chenais  & 

  2. Laboratoire de Mathématiques, Ecole Normale Supérieure, 94235, Cachan Cedex, France

    Giuseppe Geymonat

  3. Collège de France, 3, rue d’Ulm, 75005, Paris, France

    Jacques Louis Lions

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© 1996 Birkhäuser Boston

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Favini, A. (1996). Sum of Operators’ Method in Abstract Equations. In: Cea, J., Chenais, D., Geymonat, G., Lions, J.L. (eds) Partial Differential Equations and Functional Analysis. Progress in Nonlinear Differential Equations and Their Applications, vol 22. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-2436-5_10

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  • DOI: https://doi.org/10.1007/978-1-4612-2436-5_10

  • Publisher Name: Birkhäuser Boston

  • Print ISBN: 978-1-4612-7536-7

  • Online ISBN: 978-1-4612-2436-5

  • eBook Packages: Springer Book Archive

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