@Article{CMR-34-363, author = {Zhan , Desheng}, title = {Location of Zeros for the Weak Solution to a $p$-Ginzburg-Landau Problem}, journal = {Communications in Mathematical Research }, year = {2019}, volume = {34}, number = {4}, pages = {363--370}, abstract = {

This paper is concerned with the asymptotic behavior of the solution $u_\varepsilon$ of a $p$-Ginzburg-Landau system with the radial initial-boundary data. The author proves that the zeros of $u_\varepsilon$ in the parabolic domain $B_1(0)\times (0,\,T]$ locate near the axial line $\{0\}\times(0,\,T]$. In particular, all the zeros converge to this axial line when the parameter $\varepsilon$ goes to zero.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2018.04.09}, url = {http://global-sci.org/intro/article_detail/cmr/13511.html} }