Dispersive And Strichartz Estimates For Hyperbolic Equations With Constant Coefficients

In this work dispersive and Strichartz estimates for solutions to general strictly hyperbolic partial differential equations with constant coefficients with lower order terms are considered. The global time decay estimates of LpLq norms of propagators are analysed in detail and it is described how the time decay rates depend on the geometry of the problem. For these purposes, the frequency space is separated in several zones each giving a certain decay rate. Geometric conditions on characteristics responsible for the particular decay are presented.

Product details

• Authors: Michael Ruzhansky, James Smith
• Publisher: Imperial College Press
• Languages: English
• Product format: Paperback / Softback
• Released: 28.02.2010
• EAN: 9784931469570
• ISBN: 978-4-931469-57-0
• No. of pages: 156
• Dimensions: 174 mm x 252 mm x 9 mm
• Weight: 288 g
• Series: Mathematical Society of Japan; MSJ Memoirs
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Analysis