Dispersive and Strichartz Estimates for Hyperbolic Equations With Constant Coefficients (Mathematical Society of Japan Memoirs, Band 22) - Softcover

 
9784931469570: Dispersive and Strichartz Estimates for Hyperbolic Equations With Constant Coefficients (Mathematical Society of Japan Memoirs, Band 22)

Inhaltsangabe

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.

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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.

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