Loss of regularity for super critical wave equations

被引：61
作者：
Lebeau, G [1 ]
机构：
[1] Univ Nice Sophia Antipolis, Lab JA Dieudonne, UMR 6621, CNRS, F-06108 Nice, France
来源：
BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE | 2005年 / 133卷 / 01期
关键词：
D O I：
10.24033/bsmf.2482
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
(Loss of regularity for super critical wave equations). We prove that the local Cauchy problem for the supercritical wave equation in R-d, rectangle u + u(P) = 0, with d >= 3, p > 3 and p > (d + 2)/(d - 2), is ill-posed in H-sigma for every sigma is an element of ]1, sigma(C)[, where sigma(c) = d/2 - 2/(p - 1) is the critical exponent.
引用
收藏
页码：145 / 157
页数：13
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