# American Institute of Mathematical Sciences

June  2010, 28(2): 455-468. doi: 10.3934/dcds.2010.28.455

## Monotonicity methods for infinite dimensional sandwich systems

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

Received  November 2009 Revised  April 2010 Published  April 2010

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.
Citation: Martin Schechter. Monotonicity methods for infinite dimensional sandwich systems. Discrete & Continuous Dynamical Systems - A, 2010, 28 (2) : 455-468. doi: 10.3934/dcds.2010.28.455
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