| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 838561 | Nonlinear Analysis: Real World Applications | 2009 | 9 Pages |
Abstract
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.
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Authors
Kwang Ik Kim, Zhigui Lin,