Nguyen Tuan Duy, Anh Nguyen Dao
Abstract:
We prove the existence of a local weak solutions for semi-linear
parabolic equations with a strong singular absorption and a general source.
Also, we investigate criteria for the solutions to blow up in finite time.
Submitted January 10, 2018. Published February 15, 2018.
Math Subject Classifications: 35K55, 35K67, 35K65.
Key Words: Nonlinear parabolic equations; blow-up of solutions;
gradient estimates
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Nguyen Tuan Duy Department of Fundamental Sciences University of Finance-Marketing 2/4 Tran Xuan Soan St., Tan Thuan Tay Ward Dist. 7, HCM City, Vietnam email: tuanduy2312@gmail.com |
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Anh Nguyen Dao Applied Analysis Research Group Faculty of Mathematics and Statistics Ton Duc Thang University Ho Chi Minh City, Vietnam email: daonguyenanh@tdt.edu.vn |
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