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Date Published: 31/07/2025
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DOI: 10.54607/hcmue.js.22.7.4083(2025)
Issue
Tập 22, số 7(2025)
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Articles
How to Cite
Luu, L. K. C., Bui, N. H., & Le, T. K. (2025). EXTINCTION FOR A FAST DIFFUSION EQUATION WITH MIXED BOUNDARY CONDITIONS WITH A NONLINEAR NONLOCAL SOURCE. Ho Chi Minh City University of Education Journal of Science, 22(7), 1199-1210. https://doi.org/10.54607/hcmue.js.22.7.4083(2025)

EXTINCTION FOR A FAST DIFFUSION EQUATION WITH MIXED BOUNDARY CONDITIONS WITH A NONLINEAR NONLOCAL SOURCE

Luu Le Khai Cuong1, , Bui Ngoc Huy, Le Tuan Khai
1 Ho Chi Minh City University of Education

Main Article Content

Abstract

In this article, the authors established conditions for the extinction of solutions, in finite time, of the fast diffusion equation , ,  a bounded domain with  with mixed boundary conditions  where is partition of  and  is an outward vector. More precisely speaking, it is shown that if , any solution with small initial data vanishes in finite time, and if  or  and , the maximal solution is positive in  for all , where and  is the unique positive solution of the elliptic problem

Keywords

Fast diffusion equation, nonlocal source, Extinction in finite time

Article Details

References

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