On the Maximality of the Sum of Two Maximal Monotone Operators.

Abstract

A wide variety of problems involving nonlinear partial differential equations, subject to boundary conditions, may be shown to have solutions by establishing that the associated differential operators satisfy a certain technical condition. This condition, called maximal monotonicity, allows the use of a well developed abstract theory which includes results about existence, regularity, etc., of solutions of operator equations. It is quite useful, therefore, to have easily verified conditions which imply that an operator is maximal monotone. Frequently an operator may be regarded as the sum of simpler components. This paper gives a new sufficient condition which guarantees that the sum of two maximal monotone operators is again maximal monotone. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1979
Accession Number
ADA079724

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  • Hedy Attouch

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  • University of Wisconsin–Madison

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  • Mathematics

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  • Mathematical Modeling and Probability Theory.