Blow-up rate of sign-changing solutions to nonlinear parabolic systems
Analysis of PDEs
2020-12-15 v1
Abstract
We present a blow-up rate estimate for a solution to the parabolic Gross-Pitaevskii and related systems on entire space with Sobolev subcritical nonlinearity. We extend the results of [Y. Giga, S. Matsui and S. Sasayama, Indiana Univ. Math. J. {53} (2004), 483--514] to the parabolic systems.
Keywords
Cite
@article{arxiv.2012.06786,
title = {Blow-up rate of sign-changing solutions to nonlinear parabolic systems},
author = {Erbol Zhanpeisov},
journal= {arXiv preprint arXiv:2012.06786},
year = {2020}
}
Comments
22 pages