Existence and uniqueness of solution in Sobolev space for an unsteady crystal growth problem with zero surface tension |
| |
| Authors: | Xuming Xie |
| |
| Institution: | Department of Mathematics, Morgan State University, Baltimore, MD 21251, United States |
| |
| Abstract: | We study an initial value problem for a two-dimensional dendritic crystal growth model with zero surface tension. If the initial data is in Sobolev space H2(R), it is proved that an unique local solution exists in proper Sobolev space. |
| |
| Keywords: | Unsteady dendritic crystal Hilbert transform Sobolev space |
| 本文献已被 ScienceDirect 等数据库收录！ |
