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Nonlinear Evolution Equations and Potential Theory pp 45–59Cite as

Regularity Results for Some Differential Eouations Associated with Maximal Monotone Operators in Hilbert Spaces

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Abstract

Let H be a real Hilbert space whose norm and inner product is denoted respectively by | | and (,). A subset A ⊂ H × H is called monotone if

$$ \left( {{{\rm{y}}_1} - {{\rm{y}}_{2,}}{{\rm{x}}_1} - {{\rm{x}}_2}} \right)\,\, \ge \,0\,\,{\rm{for all}}\,\left[ {{{\rm{x}}_{\rm{i}}},{{\rm{y}}_{\rm{i}}}} \right]\,\, \in \,\,{\rm{A}},\,\,{\rm{i}} = \,1,2. $$

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Authors and Affiliations

  1. Faculty of Mathematics, University of Iaşi, Iaşi, Romania

    Viorel Barbu

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  1. Viorel Barbu
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Editors and Affiliations

  1. Mathematical Institute of the Czechoslovak Academy of Sciences, Prague, Czechoslovakia

    Josef Král

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© 1975 Academia, Publishing House of the Czechoslovak Academy of Sciences

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Barbu, V. (1975). Regularity Results for Some Differential Eouations Associated with Maximal Monotone Operators in Hilbert Spaces. In: Král, J. (eds) Nonlinear Evolution Equations and Potential Theory. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-4425-4_3

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  • DOI: https://doi.org/10.1007/978-1-4613-4425-4_3

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-4427-8

  • Online ISBN: 978-1-4613-4425-4

  • eBook Packages: Springer Book Archive

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