Summary
Solutions to weakly hyperbolic Cauchy problems contain as one of the most important properties the so-called loss of regularity. Recently authors have begun to understand how to show that the loss really appears. In this note we describe several models and explain different ways how to attack the question that a v loss of regularity really appears.
2000 AMS Subject Classification: Primary: 35L80, 35L15, 35B40
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Acknowledgment
The first author would like to thank the Department of Mathematics and Computer Science of TU Bergakademie Freiberg for the warm hospitality and assistance during his research stay from October 2006 to September 2007. Both authors are grateful to Professor Del Santo who introduced to them during their stay at the University of Trieste the basic ideas about the method how to construct examples for the infinite loss of regularity from [5].
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Lu, X., Reissig, M. (2009). Instability Behavior and Loss of Regularity. In: Bove, A., Del Santo, D., Murthy, M. (eds) Advances in Phase Space Analysis of Partial Differential Equations. Progress in Nonlinear Differential Equations and Their Applications, vol 78. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4861-9_11
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DOI: https://doi.org/10.1007/978-0-8176-4861-9_11
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