EXCEPTIONAL BLOWUP SOLUTIONS TO QUASILINEAR WAVE EQUATIONS II

摘要

This Note is a continuation of the paper "Exceptional Blowup Solutions to Quasilinear Wave Equations" [1]. In this previous paper, we constructed, for some quasilinear wave equations, solutions blowing up at the origin like t~2, which we considered to be an exceptional rate (the standard one in this context being t~l, see [6]). We were encouraged by questions of the Referee (whom we thank) to investigate more precisely the stability of such solutions (an issue vaguely touched upon in [1]), It turns out that, depending on the perturbation of the Cauchy data, we can make the singularity of the solution either disappear, or go back to the generic t"1 case.