On a Higher-order Reaction-diffusion Equation with a Special Medium Void via Potential Well Method-Reference-Cited by-同舟云学术

On a Higher-order Reaction-diffusion Equation with a Special Medium Void via Potential Well Method

Published:2023-01-17 Issue:1 Volume:27 Page:
ISSN:1027-5487
Container-title:Taiwanese Journal of Mathematics
language:
Short-container-title:Taiwanese J. Math.

Author:

Do Tan Duc¹,Trong Nguyen Ngoc²,Thanh Bui Le Trong³

Affiliation:

1. Division of Applied Mathematics, Thu Dau Mot University, Vietnam

2. Ho Chi Minh City University of Education, Vietnam

3. University of Science, and Vietnam National University, Vietnam

Publisher

The Mathematical Society of the Republic of China

Subject

General Mathematics

Reference14 articles.

1. R. A. Adams and J. J. F. Fournier, Sobolev Spaces, Second edition, Pure and Applied Mathematics (Amsterdam) 140, Elsevier/Academic Press, Amsterdam, 2003.

2. A. A. Balinsky, W. D. Evans and R. T. Lewis, The Analysis and Geometry of Hardy's Inequality, Universitext, Springer, Cham, 2015.

3. Y. Han, Blow-up phenomena for a fourth-order parabolic equation with a general nonlinearity, J. Dyn. Control Syst. 27 (2021), no. 2, 261–270.

4. H. A. Levine, Some nonexistence and instability theorems for solutions of formally parabolic equations of the form $Pu_t = -Au + \mathscr{F}u$, Arch. Rational Mech. Anal. 51 (1973), 371–386.

5. P. Lindqvist, Notes on the $p$-Laplace equation, Research Report 161, University of Jyväskylä, Jyväskylä, 2017.

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