Blow-up set of type I blowing up solutions for nonlinear parabolic systems

Blow-up set of type I blowing up solutions for nonlinear parabolic systems
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DOI:
10.1007/s00208-016-1498-7
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发表时间:
2017-12
影响因子:
1.4
通讯作者:
Y. Fujishima;Kazuhiro Ishige;Hiroki Maekawa
Y. Fujishima;Kazuhiro Ishige;Hiroki Maekawa
中科院分区:
数学2区
文献类型:
--
作者:
Y. Fujishima;Kazuhiro Ishige;Hiroki Maekawa

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研究一类非线性抛物不等式系统的爆破问题,建立了爆破集的位置判据。该判据使我们得到了一类爆破解的爆破集有界性和无边界爆破的充分条件。
We consider the blow-up problem for systems of nonlinear parabolic inequalities and establish a criterion for the location of the blow-up set. Our criterion enables us to obtain sufficient conditions for the boundedness of the blow-up set and no boundary blow-up for type I blowing up solutions.