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Energy partition for the linear radial wave equation

✍ Scribed by Côte, Raphaël; Kenig, Carlos E.; Schlag, Wilhelm


Book ID
124057329
Publisher
Springer
Year
2013
Tongue
English
Weight
371 KB
Volume
358
Category
Article
ISSN
0025-5831

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📜 SIMILAR VOLUMES


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## Abstract Dissipative perturbations of hyperbolic equations such as __u__~__tt__~ + __Bu__~__t__~ + __A__^2^__u__ = 0 with positive operators __A__, __B__ are considered. The rates of decay and partition of energy theorems are established for solutions of these equations.

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## Abstract The Cauchy problem for semilinear wave equations u~tt~ − Δ__u__ + __h__(|__x__|)__u__^__p__^ = 0 with radially symmetric smooth ‘large’ data has a unique global classical solution in arbitrary space dimensions if __h__ is non‐negative and __p__ any odd integer provided the smooth factor