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arXiv · 1309.6102

Weighted energy estimates for $p$-evolution equations

Alessia Ascanelli·Marco Cappiello
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Abstract

We prove energy estimates for linear $p$-evolution equations in weighted Sobolev spaces under suitable assumptions on the behavior at infinity of the coefficients with respect to the space variables. As a consequence we obtain well posedness for the related Cauchy problem in the Schwartz spaces $\mathcal{S}$ and $\mathcal{S}'$.

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Alessia Ascanelli, Marco Cappiello. 2013-09-24. Weighted energy estimates for $p$-evolution equations. https://arxiv.org/abs/1309.6102

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