JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2025, Vol. 60 ›› Issue (9): 133-136.doi: 10.6040/j.issn.1671-9352.0.2024.166
SHEN Xuhui
CLC Number:
| [1] LEVINE H A. Nonexistence of global weak solutions to some properly and improperly posed problems of mathematical physics: the method of unbounded fourier coefficients[J]. Mathematische Annalen, 1975, 214(3):205-220. [2] PAYNE L E, SCHAEFER P W. Lower bounds for blow-up time in parabolic problems under Neumann conditions[J]. Applicable Analysis, 2006, 85(10):1301-1311. [3] 欧阳柏平,肖胜中. 非线性边界条件下非局部多孔介质抛物方程解的爆破现象[J]. 应用数学学报,2023,46(3):478-492. OUYANG Baiping, XIAO Shengzhong. blow-up phenomena of solutions to a nonlocal porous medium parabolic equation with space-dependent coefficients and inner absorption terms under nonlinear boundary conditions[J]. Acta Mathematicae Applicatae Sinica, 2023, 46(3):478-492. [4] HAN Jiangbo, XU Runzhang, YANG Chao. Continuous dependence on initial data and high energy blowup time estimate for porous elastic system[J]. Communications in Analysis and Mechanics, 2023, 15(2):214-244. [5] WINKLER M. Global solutions in higher dimensions to a fourth-order parabolic equation modeling epitaxial thin-film growth[J]. Zeitschrift für Angewandte Mathematik und Physik, 2011, 62(4):575-608. [6] HAN Yuzhu. blow-up phenomena for a fourth-order parabolic equation with a general nonlinearity[J]. Journal of Dynamical and Control Systems, 2021, 27:261-270. [7] ZHAO Lijing, LI Fushan. Sufficient conditions and bounds estimate of blow-up time for a fourth order parabolic equation[J]. Qualitative Theory of Dynamical Systems, 2022, 21(3):1-17. [8] PHILIPPIN G A. Lower bounds for blow-up time in a class of nonlinear wave equations[J]. Zeitschrift für Angewandte Mathematik und Physik, 2015, 66(1):129-134. [9] HENROT A. Extremum problems for eigenvalues of elliptic operators[M]. Basel: Birkhäuser Verlag, 2006. |
| [1] | OUYANG Bai-ping. Blow-up of solutions to a weakly coupled semilinear Moore-Gibson-Thompson system with a nonlinear term of derivative type [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2022, 57(9): 101-110. |
| [2] | DUAN Dui-hua, GAO Cheng-hua, WANG Jing-jing. Existence and nonexistence of blow-up solutions for a general k-Hessian equation [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2022, 57(3): 62-67. |
| [3] | DONG Li. Lower bounds for blow up time of two nonlinear wave equations [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(4): 56-60. |
| [4] | LIU Yang, DA Chao-jiu, LI Fu-ming. Nehari manifold and application to blow-up for a class of semilinear parabolic equations [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2016, 51(1): 123-127. |
| [5] | LÜ Hong-jie, LIU Jing-jing, QI Jing, LIU Shuo. Blow-up of a weakly dissipative μ-Hunter-Saxton equation [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2015, 50(05): 55-59. |
| [6] | LIN Chun-jin1, XU Guo-jing2. Finite time blowup of multi-dimensional Kaniadakis-Quarati equation#br# [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2014, 49(06): 79-84. |
| [7] | SONG Dan-dan, YUAN Bao-quan*. Explicit blow-up solutions for compressible magneto-hydrodynamic equations [J]. J4, 2012, 47(2): 26-30. |
| [8] | YAN Xiao-li, YUAN Bao-quan*. Analytical blow-up solutions to the Euler equations [J]. J4, 2011, 46(12): 104-107. |
| [9] | LI Feng-ping. On the blow-up criteria to smooth solutions of the generalized magneto-hydrodynamic equations in R3 [J]. J4, 2010, 45(4): 90-94. |
| [10] | LU Qiu-ci1, ZENG You-dong2. The semi-infinite problems of the solutions for a system of nonlocal wave equations [J]. J4, 2010, 45(10): 104-108. |
| [11] | ZHANG Yi-bin . The existence for the solution of the Laplace equation with an exponential Neumann boundary condition [J]. J4, 2008, 43(3): 48-53 . |
|
||
