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Estimates for a class of oscillatory integrals and decay rates for wave-type equations

✍ Scribed by Anton Arnold; JinMyong Kim; Xiaohua Yao

Book ID: 113722079
Publisher: Elsevier Science
Year: 2012
Tongue: English
Weight: 330 KB
Volume: 394
Category: Article
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2012.04.070

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## Abstract We study the electromagnetic wave equation and the perturbed massless Dirac equation on ℝ~__t__~ × ℝ^3^: where the potentials __A__(__x__), __B__(__x__), and __V__(__x__) are assumed to be small but may be rough. For both equations, we prove the expected time decay rate of the solution