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arXiv · 2012.06786

Blow-up rate of sign-changing solutions to nonlinear parabolic systems

Erbol Zhanpeisov
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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.

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Erbol Zhanpeisov. 2020-12-12. Blow-up rate of sign-changing solutions to nonlinear parabolic systems. https://arxiv.org/abs/2012.06786

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