@Article{CMR-34-4, author = {Zhan, Desheng}, title = {Location of Zeros for the Weak Solution to a $p$-Ginzburg-Landau Problem}, journal = {Communications in Mathematical Research }, year = {2018}, 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 = {https://global-sci.com/article/81614/location-of-zeros-for-the-weak-solution-to-a-p-ginzburg-landau-problem} }