Quasi-subdifferential operators and evolution equations

Pages: 447 - 456, Issue special, November 2013

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Masahiro Kubo - Department of Mathematics, Nagoya Institute of Technology, Gokiso-cho, Showa-ku, Nagoya 466-8555, Japan (email)

Abstract: We introduce the concept of a quasi-subdifferential operator and that of a quasi-subdifferential evolution equation. We prove the existence of solutions to related problems and give applications to variational and quasi-variational inequalities.

Keywords:  Variational inequalities, subdifferential operators, evolution equations.
Mathematics Subject Classification:  Primary: 47J20, 47J35; Secondary 35J87, 35K86.

Received: August 2012;      Revised: December 2012;      Published: November 2013.