抛物粘合方法与奇性形成——献给陈化教授 70 寿辰

Abstract

Abstract:

Singularity formation for nonlinear PDEs has attracted much attention in recent years. In this survey article, some recent progress on the parabolic gluing method and its wide applications in investigating the singularity formation for parabolic flows, originating from geometry, mathematical physics and mathematical biology, will be introduced. Two model problems will be revisited to illustrate the key ideas of the gluing method in detail.

Key words: parabolic gluing method, blow-up analysis, energy-critical parabolic problems

CLC Number:

O175.23

Juncheng Wei, Yifu Zhou. Parabolic Gluing Method and Singularity Formation[J].Acta mathematica scientia,Series A, 2026, 46(2): 646-668.

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References 57

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Parabolic Gluing Method and Singularity Formation

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