Existence and Asymptotic Behaviors to a Nonlinear Fourth-order Parabolic Equation with a General Source-Reference-Cited by-同舟云学术

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Existence and Asymptotic Behaviors to a Nonlinear Fourth-order Parabolic Equation with a General Source

Published:2024-01-01 Issue:-1 Volume:-1 Page:
ISSN:1027-5487
Container-title:Taiwanese Journal of Mathematics
language:
Short-container-title:Taiwanese J. Math.

Author:

Liang Bo¹,Li Qingchun²,Zhu Yongbo³,Zhu Yongzheng³

Affiliation:

1. School of Mathematics and Finance, Chuzhou University, China, and School of Science, Dalian Jiaotong University, China

2. School of Mathematical Science, Dalian University of Technology, China

3. School of Science, Dalian Jiaotong University, China

Publisher

The Mathematical Society of the Republic of China

Reference23 articles.

1. W. Lian, J. Wang and R. Xu, Global existence and blow up of solutions for pseudo-parabolic equation with singular potential, J. Differential Equations 269 (2020), no. 6, 4914–4959.

2. L. E. Payne and D. H. Sattinger, Saddle points and instability of nonlinear hyperbolic equations, Israel J. Math. 22 (1975), no. 3-4, 273–303.

3. J. Zhou, Blow-up for a thin-film equation with positive initial energy, J. Math. Anal. Appl. 446 (2017), no. 1, 1133–1138.

4. D. H. Sattinger, On global solution of nonlinear hyperbolic equations, Arch. Rational Mech. Anal. 30 (1968), 148–172.

5. Y. Han, A class of fourth-order parabolic equation with arbitrary initial energy, Nonlinear Anal. Real World Appl. 43 (2018), 451–466.

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