Blow-up analysis for parabolic p-Laplacian equations with a gradient source term

Abstract In this work, we deal with the blow-up solutions of the following parabolic p-Laplacian equations with a gradient source term: { ( b ( u ) ) t = ∇ ⋅ ( | ∇ u | p − 2 ∇ u ) + f ( x , u , | ∇ u | 2 , t ) in  Ω × ( 0 , t ∗ ) , ∂ u ∂ n = 0 on  ∂ Ω × ( 0 , t ∗ ) , u ( x , 0 ) = u 0 ( x ) ≥ 0 in ...

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Bibliographic Details
Main Author: Juntang Ding
Format: Article
Language:English
Published: SpringerOpen 2020-09-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-020-02481-y