Monotonicity methods for infinite dimensional sandwich systems

Martin Schechter

doi:10.3934/dcds.2010.28.455

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2010, Volume 28, Issue 2: 455-468. Doi: 10.3934/dcds.2010.28.455 open access

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Monotonicity methods for infinite dimensional sandwich systems

Martin Schechter^1,

1.
Department of Mathematics, University of California, Irvine, Irvine, CA 92697-3875

Received: November 2009

Revised: April 2010

Published online: April 2010

Abstract / Introduction Related Papers Cited by

Abstract

We show how hypotheses for many problems can be significantly reduced if we employ the monotonicity method. We apply it to problems for the semilinear wave equation, where infinite dimensional methods are needed.

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Mathematics Subject Classification: Primary: 35J65, 58E05, 49J35.

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