Daniel Tataru, Dan-Andrei Geba
Abstract
We obtain a multiscale wave packet representation for the fundamental solution of the wave equation whose coefficients satisfy ∂2 g ∈ . This leads to pointwise and weighted L p bounds for the fundamental solution and also to a proof of dispersive estimates for such operators.
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We obtain a multiscale wave packet representation for the fundamental solution of the wave equation whose coefficients satisfy ∂2 g ∈ . This leads to pointwise and weighted L p bounds for the fundamental solution and also to a proof of dispersive estimates for such operators.
Key concepts: Pointwise, Mathematics, Wave packet, Wave equation, Representation (politics), Mathematical analysis, Dispersive partial differential equation, Applied mathematics