Strichartz type Inequalities for Parabolic and Schr\"odinger Equations in rearrangement invariant Spaces
classification
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math.FA
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invariantodingerparabolicrearrangementschrspacesstrichartzclasses
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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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