Uniqueness and grow-up rate of solutions for pseudo-parabolic equations in R-n with a sublinear source

作者：Khomrutai Sujin^*

来源：Applied Mathematics Letters, 2015, 48: 8-13.

DOI：10.1016/j.aml.2015.03.008

• Pseudo-parabolic equation
• Sublinear
• Mild solutions
• Uniqueness
• Grow-up

In this paper, we solve an open problem appeared in Cao et al. (2009) concerning the uniqueness of solutions for a sublinear pseudo-parabolic Cauchy problem. In the zero initial case, we obtain the class of all non-trivial global solutions, whereas, the uniqueness of global solutions is established when the initial condition is non-zero. A lower grow-up rate of solutions is also obtained.

• 出版日期2015-10