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arxiv: 1602.04653 · v2 · pith:DC7OQ4Z7new · submitted 2016-02-15 · 🧮 math.AP · math-ph· math.MP

Weak dispersion for the Dirac equation on asymptotically flat and warped products spaces

classification 🧮 math.AP math-phmath.MP
keywords asymptoticallydiracequationflatproductswarpedconsiderdispersion
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We prove local smoothing estimates for the Dirac equation on some non-flat manifolds; in particular, we will consider asymptotically flat and warped products metrics. The strategy of the proofs relies on the multiplier method.

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