Global well posedness for the semilinear edge-degenerate parabolic equations on singular manifolds

In this article, we study the long-time dynamical behavior of the solution for a class of semilinear edge-degenerate parabolic equations on manifolds with edge singularities. By introducing a family of potential well and compactness method, we reveal the dependence between the initial data and the l...

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Podrobná bibliografie
Hlavní autor: Chen Yuxuan
Médium: Článek
Jazyk:English
Vydáno: De Gruyter 2023-11-01
Edice:Advances in Nonlinear Analysis
Témata:
On-line přístup:https://doi.org/10.1515/anona-2023-0117