| Heisenberg群上分数阶Ginzburg-Landau方程解的有界性 |
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| 引用本文： | 王新敬. Heisenberg群上分数阶Ginzburg-Landau方程解的有界性[J]. 应用数学, 2019, 32(1): 201-205 |
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| 作者姓名： | 王新敬 |
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| 作者单位： | 西北工业大学应用数学系 |
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| 基金项目： | 国家自然科学基金资助项目(11771354) |
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| 摘 要： | 本文证明Heisenberg群上分数阶的Keller-Osserman定理和Kato不等式,给出Heisenberg群上分数阶Ginzburg-Landau方程解的有界性.这个结果把欧氏空间上分数阶Ginzburg-Landau方程的结果推广到了Heisenberg群上.
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| 关 键 词： | 分数阶Ginzburg-Landau方程 Keller-Osserman定理 有界性 Heisen-berg群 |
| 收稿时间： | 2018-04-03 |
Boundedness of Solutions of Fractional Ginzburg-Landau Equation on the Heisenberg Group |
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| WANG Xinjing. Boundedness of Solutions of Fractional Ginzburg-Landau Equation on the Heisenberg Group[J]. Mathematica Applicata, 2019, 32(1): 201-205 |
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| Authors: | WANG Xinjing |
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| Affiliation: | (Department of Applied Mathematics,Northwestern Polytechnical University,Xi'an 710129,China) |
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| Abstract: | It is proved the fractional Keller-Osserman theorem and Kato inequality on the Heisenberg group. Then the boundedness of solutions to fractional Ginzburg-Landau equation on the Heisenberg group is obtained. The result extends the conclusion of fractional Ginzburg-Landau equation on the Euclidean space to one on the Heisenberg group. |
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| Keywords: | Fractional Ginzburg-Landau equation Keller-Osserman theorem Boundedness Heisenberg group |
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