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

Abstract

In this paper we generalize the classical Strichartz estimation for solutions of initial problem for linear parabolic and Schrödinger 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.

References in corpus (5)

• Nikol'skii-type inequalities for rearrangement invariant spaces
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Cited by in corpus (1)

• Compact Sets in Bide - Side Grand Lebesgue Spaces, with Applications