Quasi-subdifferential operators andevolution equations

Masahiro Kubo

doi:10.3934/proc.2013.2013.447

Article Contents

2013, Volume 2013: 447-456. Doi: 10.3934/proc.2013.2013.447 open access

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Quasi-subdifferential operators and evolution equations

Masahiro Kubo^1,

1.
Department of Mathematics, Nagoya Institute of Technology, Gokiso-cho, Showa-ku, Nagoya 466-8555

Received: July 31, 2012

Revised: November 30, 2012

Published: October 2013

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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.

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Mathematics Subject Classification: Primary: 47J20, 47J35; Secondary 35J87, 35K86.

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