Dimension of kernel sections for damped nonautonomous wave equations with critical exponent

作者：Ban Ailing; Zhou Shengfan^*; Han Xiaoying

来源：Journal of Mathematical Physics, 2009, 50(1): 012702.

DOI：10.1063/1.3050333

• boundary-value problems
• critical exponents
• group theory
• set theory
• wave equations

In this paper, by using the boundedness of kernel sections in higher regular space, we obtain an uniform upper bound of Hausdorff dimension of the kernel sections for damped nonautonomous wave equation when the nonlinearity has a critically growing exponent, which improves the previous estimate of Hausdorff dimension of the kernel sections.

• 出版日期2009-1
• 单位上海师范大学