具非局部非线性项的抛物方程的熄灭解
The Quenching Solutions of Parabolic Problems with Reaction Terms of Nonlocal and Nonlinear Type
DOI: 10.12677/PM.2015.53016,
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作者:
郑祥成, 侯全刚, 杨 昊：中国石油大学(华东)理学院，山东 青岛
关键词:
非局部抛物方程；熄灭解；熄灭速率；熄灭集；Nonlocal Parabolic Equation； Quenching Solution； Quenching Rate； Quenching Collection
摘要:
本文研究了一类具有非局部非线性项的抛物方程问题解的熄灭性质，在一定对初值的假设条件下，得到了解发生熄灭的判据，进而我们证得了解的熄灭速率和熄灭集合。
Abstract:
In this paper, we study quenching problems for solutions of parabolic problems with reaction terms of nonlocal and nonlinear type. Setting some assumptions to the initial data, we acquire the criterion of whether or not the solutions will quench and we prove the quenching rates and quenching collection.
文章引用:
郑祥成, 侯全刚, 杨昊. 具非局部非线性项的抛物方程的熄灭解[J]. 理论数学, 2015, 5(3): 100-104. http://dx.doi.org/10.12677/PM.2015.53016
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