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

  • Viorel Barbu

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

Keywords

Maximal Monotone Real Hilbert Space Regularity Result Nonlinear Evolution Equation Maximal Monotone Operator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

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

Authors and Affiliations

  • Viorel Barbu
    • 1
  1. 1.Faculty of MathematicsUniversity of IaşiIaşiRomania

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