Blow-Up Phenomena for a Class of Parabolic or Pseudo-parabolic Equation with Nonlocal Source

Author:

Liu GongweiORCID,Zhang Hongwei

Funder

National Natural Science Foundation of China

Key Scientific Research Foundation of the Higher Education Institutions of Henan Province

Foundation of Henan Educational Committee

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference20 articles.

1. Di, H.F., Shang, Y.D.: Blow up of solutions for a class of fourth order nonlinear pseudo-parabolic equation with a nonlocal source. Boundary Value Problems Vol. 2015:19, (2015) 9 page

2. Gazzola, F., Weth, T.: Finite time blow-up and global solutions for semilinear parabolic equations with initial data at high energy level. Differ. Integral Equ. 18(9), 961–990 (2005)

3. Ikehata, R., Suzuki, T.: Stable and unstable sets for evolution equations of parabolic and hyperbolic type. Hiroshima Math. J. 26(3), 475–491 (1996)

4. Levine, H.A.: Instability and nonexistence of global solutions of nonlinear wave equation of the form $$Pu_{tt} = Au + {\mathfrak{F}}(u)$$. Trans. Amer. Math. Soc. 192, 1–21 (1974)

5. Liu, B., Ma, L.: Invariant sets and the blow up threshold for a nonlocal equation of parabolic type. Nonlinear Anal. 110, 141–156 (2014)

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