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

Viorel Barbu
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Viorel Barbu: University of Iaşi, Faculty of Mathematics

A chapter in Nonlinear Evolution Equations and Potential Theory, 1975, pp 45-59 from Springer

Abstract: 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 (search for similar items in EconPapers)
Date: 1975
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4613-4425-4_3

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DOI: 10.1007/978-1-4613-4425-4_3

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