The second critical exponent for a semilinear nonlocal parabolic equation

Release time:2024-08-09  Hits:

• Affiliation of Author(s):理学院
• Journal:Journal of Mathematical Analysis and Applications
• Key Words:中文关键字：非局部源；第二临界指标；爆破；整体存在，英文关键字：Nonlocal source;The second critical exponent;Blow-
• Abstract:This article considers the Cauchy problem for a semilinear nonlocal parabolic equation. We study the second critical exponent, i.e. describing the critical smallness of initial data required by global solutions (non-global solutions) via the decay rates of the initial data at spatial infinity. Differently from other parabolic equations, the second critical exponent is related to n in this problem.
• First Author:jifeiyu,yangchunxiao
• Indexed by:Journal paper
• Volume:卷：
• Issue:期：418
• Page Number:页：231–237
• Translation or Not:no
• Date of Publication:2014-04-01