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Smoothing effect for time-degenerate Schrodinger operators

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 نشر من قبل Serena Federico
 تاريخ النشر 2020
  مجال البحث
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In this work we consider an example of a linear time-degenerate Schrodinger operator. We show that with the appropriate assumptions the operator satisfies a Kato smoothing effect. We also show that the solutions to the nonlinear initial value problems involving this operator and polynomial derivative nonlinearities are locally well-posed and their solutions also satisfy the same smoothing estimates as the linear solutions.



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