带有强阻尼项的拟线性抛物方程整体解的存在性与指数增长

来源 :应用数学 | 被引量 : 0次 | 上传用户：a619906915

【摘要】

：

本文研究拟线性项与源项的竞争对具有强阻尼项的拟线性抛物方程解的影响.利用Galerkin方法给出局部解的存在性,结合势井方法和修改的能量泛函,在不同条件下证明整体解的存在性,并估计整体解的能量衰减.最后在初始能量为负或初始能量有一临界的正的下界,且时间t趋于无穷时,解的Lp范数将以指数形式增长.

【作者】

：

吴娇杨晗

【机构】

：

西南交通大学数学学院

【出处】

：

应用数学

【发表日期】

：

2021年3期

【关键词】

：

拟线性抛物方程强阻尼项整体解指数增长

【基金项目】

：

国家自然科学基金(11701477,11971394)。

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带有强阻尼项的拟线性抛物方程整体解的存在性与指数增长

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