A free boundary problem for a parabolic system describing an ecological model

作者：Kim Kwang Ik; Lin Zhigui^*

来源：Nonlinear Analysis: Real World Applications , 2009, 10(1): 428-436.

DOI：10.1016/j.nonrwa.2007.10.003

• free boundary
• diffractiom
• interface
• existence

In this paper, the one-dimensional quasilinear Verigin problem and the relative diffraction problem are Studied. This free boundary problem describes a motion of the interface between two groups of animals. The existence and uniqueness of a classical solution locally in time are obtained. The continuous dependence of the solution on the internal boundary and the smoothness of the free boundary are also given.

• 出版日期2009-2
• 单位扬州大学