Evolution PDE with elliptic dissipative terms: critical index for singular initial data, self-similar solutions and analytic regularity

被引：7
|
作者：
Biagioni, HA [1 ]
Gramchev, T
机构：
[1] UNICAMP, IMECC, Dept Matemat, BR-13081970 Campinas, SP, Brazil
[2] Univ Cagliari, Dipartimento Matemat, I-09124 Cagliari, Italy
来源：
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1998年 / 327卷 / 01期
关键词：
D O I：
10.1016/S0764-4442(98)80100-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate the influence of the elliptic dissipative terms of evolution equations in R-n and T-n on the critical L-p, 1 less than or equal to p less than or equal to infinity, index of the singularity of the initial data, the analytic regularity for positive time and the existence of self-similar solutions. (C) Academie des Sciences/Elsevier, Paris.
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页码：41 / 46
页数：6
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