Decay and Strichartz Estimates for DNLS
نویسنده
چکیده
one deals with time evolution problem, which does not improve smoothness with time. This simple but very fundamental observation (in sharp contrast with the better behaved parabolic evolution) has necessitated radically different approach to the standard questions of local and global well-posedness, persistence of smoothness, stability of localized structures etc. Indeed, tackling these questions took some time, in fact the first rigorous mathematical results did not appear until the late 70’s. Let us explain some of the ingredients that were crucial for understanding these issues. First, for F = 0 in (1), we have the representation
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تاریخ انتشار 2008