The Initial Value Problem of Nonlinear Evolution Equation[J]. Journal of Civil and Environmental Engineering, 2000, 22(1): 97-99123. DOI: 10.11835/j.issn.1674-4764.2000.01.020.
This paper discusses the initial value problem of the nonlinear evolution equation. The uniqueness and stability of the solutions for the problem are proved. It is also obtained that the solution of the problem blows up in a finite time.