Strichartz type Inequalities for Parabolic and Schrödinger Equations in rearrangement invariant Spaces

Details Strichartz type Inequalities for Parabolic and Schrödinger Equations in rearrangement invariant Spaces Strichartz type Inequalities for Parabolic and Schrödinger Equations in rearrangement invariant Spaces

2009-01-18

arxiv.org/abs/0901.2715v1

Mathematics

Analysis of PDEs

Scientific paper

In this paper we generalize the classical Strichartz estimation for solutions
of initial problem for linear parabolic and Schr\"odinger PDE on many popular
classes {\it pairs} of rearrangement invariant(r.i.) spaces and construct some
examples in order to show the exactness of our estimations.

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