Dispersive estimates for hyperbolic systems with time-dependent coefficients

作者：Ruzhansky Michael; Wirth Jens^*

来源：Journal of Differential Equations, 2011, 251(4-5): 941-969.

DOI：10.1016/j.jde.2011.04.022

• Hyperbolic systems
• Diagonalisation
• Dispersive estimates
• Oscillating time-dependent coefficients
• van der Corput lemma

This paper is devoted to the study of time-dependent hyperbolic systems and the derivation of dispersive estimates for their solutions. It is based on a diagonalisation of the full symbol within adapted symbol classes in order to extract the essential information about representations of solutions. This is combined with a multi-dimensional van der Corput lemma to derive dispersive estimates.

• 出版日期2011-8-15