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2011, 2011(Special): 44-53. doi: 10.3934/proc.2011.2011.44

On the Glimm Functional for general hyperbolic systems

Fabio Ancona 1, and  Andrea Marson 1,

1. 

Dipartimento di Matematica Pura ed Applicata, Via Trieste 63, I-35121, Padova, Italy, Italy

Received  July 2010 Revised  August 2011 Published  October 2011

In this note we discuss the features of a quadratic interaction potential for first order hyperbolic systems in one space dimension, aiming to suggest the need of defining a non local functional depending on the global wave structure of the solution in order to obtain a quadratic Glimm type functional for general hyperbolic systems.
Keywords: Nonlinear hyperbolic systems, interaction potential.
Mathematics Subject Classification: Primary: 35L40; Secondary: 35L65.
Citation: Fabio Ancona, Andrea Marson. On the Glimm Functional for general hyperbolic systems. Conference Publications, 2011, 2011 (Special) : 44-53. doi: 10.3934/proc.2011.2011.44
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