Improved analysis of the critical line. Delayed regularity
Improved analysis of the critical line. Delayed regularity
This chapter continues the analysis of the functional properties of the evolution semigroup generated by the FDE on the critical line, i.e., when m < mc and p assumes the critical value p* = n(1 - m)/2. The question addressed is boundedness, i.e., finding conditions on u0 under which function u(·, t) is bounded for all t > 0. The phenomenon of delayed regularity and immediate boundedness are discussed.
Keywords: delayed regularity, immediate boundedness, semigroup, FDE
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