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arXiv · 1805.00845

Finite time blow-up and global solutions for a nonlocal parabolic equation at high energy level

Xiaoliang Li·Baiyu Liu
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Abstract

In this paper, we consider the solution of a nonlocal parabolic equation. Focusing on the solutions with initial data at high energy level, we find the criteria for global existence and finite time blow up for the corresponding solution respectively. Moreover, we prove that there always exists blow up solution with negative Nehari functional no matter how large the energy is.

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Xiaoliang Li, Baiyu Liu. 2018-05-02. Finite time blow-up and global solutions for a nonlocal parabolic equation at high energy level. https://arxiv.org/abs/1805.00845

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