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Dispersive And Strichartz Estimates For Hyperbolic Equations With Constant Coefficients

Buch | Softcover
156 Seiten
2010
Mathematical Society of Japan (Verlag)
978-4-931469-57-0 (ISBN)
CHF 34,90 inkl. MwSt
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Examines dispersive and Strichartz estimates for solutions to general strictly hyperbolic partial differential equations with constant coefficients with lower order terms. In this title, the global time decay estimates of Lp-Lq norms of propagators are analysed and it is described how the time decay rates depend on the geometry of the problem.
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 Lp-Lq 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.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets

Main Estimates; Properties of Hyperbolic Polynomials; Oscillatory Integrals with Convexity; Oscillatory Integrals without Convexity; Decay of Solutions to the Cauchy Problem; Frequencies around Multiplicities; Examples and Extensions.

Erscheint lt. Verlag 28.2.2010
Reihe/Serie Mathematical Society Of Japan Memoirs ; 22
Sprache englisch
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Graphentheorie
ISBN-10 4-931469-57-4 / 4931469574
ISBN-13 978-4-931469-57-0 / 9784931469570
Zustand Neuware
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