| 明森,杨晗.一类弱耗散Camassa-Holm 方程Cauchy问题在Besov 空间解的局部适定性[J].数学年刊A辑,2013,34(4):415~428 |
| 一类弱耗散Camassa-Holm 方程Cauchy问题在Besov 空间解的局部适定性 |
| Local Well-Posedness for the Cauchy Problem of theWeakly Dissipative Camassa-HolmEquation in Besov Spaces |
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| DOI： |
| 中文关键词: 弱耗散Camassa-Holm方程, 局部适定性, Besov 空间, 爆破准则 |
| 英文关键词:Weakly dissipative Camassa-Holm equation, Local well-posedness,
Besov space, Blow-up mechanism |
| 基金项目:国家自然科学基金 (No.71003082) 和中央高校科研业务费 (No.SWJTU12CX061,No.SWJTU12ZT13) |
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| 中文摘要: |
| 利用Littlewood-Paley 理论和输运方程解的先验估计, 在Besov 空间
中证明了一类弱耗散Camassa-Holm 方程Cauchy 问题解的局部适定性, 同时给出了解的能量估计及爆破准则. |
| 英文摘要: |
| The local well-posedness results for the weakly dissipative Camassa-Holm equation
in some Besov spaces are established by Littlewood-Paley theory and a priori estimate
for the solutions of transport equation. Then, the energy estimate and a blow-up mechanism
for solutions to the equation are presented. |
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