Blow-up of a nonlocal p-Laplacian evolution equation with critical initial energy

• Autorzy: Yang Liu , Pengju Lv , Chaojiu Da
• Języki publikacji: EN

Abstrakty

EN

This paper is concerned with the initial boundary value problem for a nonlocal p-Laplacian evolution equation with critical initial energy. In the framework of the energy method, we construct an unstable set and establish its invariance. Finally, the finite time blow-up of solutions is derived by a combination of the unstable set and the concavity method.

Kategorie tematyczne

• 35B44: Blow-up
• 35K65: Degenerate parabolic equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2016
• Tom: 117
• Numer: 1
• Strony: 89-99

Daty

wydano

2016

Twórcy

autor

Yang Liu

• College of Mathematics and Computer Science, Northwest University for Nationalities, 730124 Lanzhou, People's Republic of China

autor

Pengju Lv

• Department of Medical Informatics, Harbin Medical University, 163319 Daqing, People's Republic of China

autor

Chaojiu Da

• College of Mathematics and Computer Science, Northwest University for Nationalities, 730124 Lanzhou, People's Republic of China

Identyfikatory

DOI

10.4064/ap3807-1-2016