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Infinite Time Blow-Up of Solutions to a Fourth-Order Nonlinear Parabolic Equation with Logarithmic Nonlinearity Modeling Epitaxial Growth
Mediterranean Journal of Mathematics
◽
10.1007/s00009-021-01880-9
◽
2021
◽
Vol 18
(6)
◽
Author(s):
Hang Ding
◽
Jun Zhou
Keyword(s):
Parabolic Equation
◽
Epitaxial Growth
◽
Fourth Order
◽
Nonlinear Parabolic Equation
◽
Blow Up
◽
Infinite Time
◽
Nonlinear Parabolic
Download Full-text
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References
Behavior of Solutions to a Fourth-Order Nonlinear Parabolic Equation with Logarithmic Nonlinearity
Applied Mathematics & Optimization
◽
10.1007/s00245-019-09642-6
◽
2019
◽
Author(s):
Jun Zhou
Keyword(s):
Parabolic Equation
◽
Fourth Order
◽
Nonlinear Parabolic Equation
◽
Nonlinear Parabolic
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The blow-up profile for a nonlocal nonlinear parabolic equation with a nonlocal boundary condition
Quarterly of Applied Mathematics
◽
10.1090/s0033-569x-2012-01278-5
◽
2012
◽
Vol 70
(4)
◽
pp. 759-772
Author(s):
Youpeng Chen
◽
Lihua Liu
Keyword(s):
Boundary Condition
◽
Parabolic Equation
◽
Nonlinear Parabolic Equation
◽
Blow Up
◽
Nonlocal Boundary Condition
◽
Nonlocal Boundary
◽
Nonlinear Parabolic
◽
Nonlocal Nonlinear
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Optimal conditions of global existence and blow-up for a nonlinear parabolic equation
Acta Mathematica Scientia
◽
10.1016/s0252-9602(16)30046-7
◽
2016
◽
Vol 36
(3)
◽
pp. 872-880
Author(s):
Yi JIANG
◽
Chuan LUO
Keyword(s):
Parabolic Equation
◽
Global Existence
◽
Nonlinear Parabolic Equation
◽
Blow Up
◽
Optimal Conditions
◽
Nonlinear Parabolic
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Existence and asymptotic behavior of solutions to a nonlinear parabolic equation of fourth order
Journal of Mathematical Analysis and Applications
◽
10.1016/j.jmaa.2008.07.022
◽
2008
◽
Vol 348
(1)
◽
pp. 234-243
◽
Cited By ~ 12
Author(s):
Bo Liang
◽
Sining Zheng
Keyword(s):
Asymptotic Behavior
◽
Parabolic Equation
◽
Fourth Order
◽
Nonlinear Parabolic Equation
◽
Asymptotic Behavior Of Solutions
◽
Nonlinear Parabolic
Download Full-text
Blow-up of solutions for nonlinear parabolic equation with nonlocal source and nonlocal boundary condition
Applied Mathematics and Computation
◽
10.1016/j.amc.2013.08.044
◽
2013
◽
Vol 224
◽
pp. 1-8
◽
Cited By ~ 6
Author(s):
Zhoujin Cui
◽
Zuodong Yang
◽
Rui Zhang
Keyword(s):
Boundary Condition
◽
Parabolic Equation
◽
Nonlinear Parabolic Equation
◽
Blow Up
◽
Nonlocal Boundary Condition
◽
Nonlocal Boundary
◽
Nonlocal Source
◽
Nonlinear Parabolic
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CONTINUITY OF THE BLOW-UP TIME IN A NONLINEAR PARABOLIC EQUATION WITH NONLINEAR MEMORY
International Journal of Numerical Methods and Applications
◽
10.17654/nm020010055
◽
2021
◽
Vol 20
(1)
◽
pp. 55-75
Author(s):
N’gohisse Konan Firmin
◽
Camara Zié
◽
Yoro Gozo
Keyword(s):
Parabolic Equation
◽
Nonlinear Parabolic Equation
◽
Blow Up
◽
Nonlinear Memory
◽
Nonlinear Parabolic
Download Full-text
Global blow-up for a localized nonlinear parabolic equation with a nonlocal boundary condition
Journal of Mathematical Analysis and Applications
◽
10.1016/j.jmaa.2011.05.079
◽
2011
◽
Vol 384
(2)
◽
pp. 421-430
◽
Cited By ~ 8
Author(s):
Youpeng Chen
◽
Lihua Liu
Keyword(s):
Boundary Condition
◽
Parabolic Equation
◽
Nonlinear Parabolic Equation
◽
Blow Up
◽
Nonlocal Boundary Condition
◽
Nonlocal Boundary
◽
Nonlinear Parabolic
Download Full-text
Regional Blow-up for a Doubly Nonlinear Parabolic Equation with a Nonlinear Boundary Condition
Journal of Dynamics and Differential Equations
◽
10.1007/s10884-006-9056-8
◽
2007
◽
Vol 19
(3)
◽
pp. 719-746
◽
Cited By ~ 1
Author(s):
Ján Filo
◽
Mayte Pérez-Llanos
Keyword(s):
Boundary Condition
◽
Parabolic Equation
◽
Nonlinear Parabolic Equation
◽
Nonlinear Boundary
◽
Nonlinear Boundary Condition
◽
Blow Up
◽
Nonlinear Parabolic
◽
Doubly Nonlinear
◽
Doubly Nonlinear Parabolic Equation
Download Full-text
Solutions for a fourth-order nonlinear parabolic equation describing Marangoni convection
Applicable Analysis
◽
10.1080/00036811.2015.1088521
◽
2015
◽
Vol 95
(9)
◽
pp. 2081-2098
Author(s):
Ning Duan
Keyword(s):
Parabolic Equation
◽
Fourth Order
◽
Nonlinear Parabolic Equation
◽
Marangoni Convection
◽
Nonlinear Parabolic
Download Full-text
Blow-Up, Exponential Grouth of Solution for a Nonlinear Parabolic Equation with p(x) - Laplacian
International Journal of Analysis and Applications
◽
10.28924/2291-8639-17-2019-620
◽
2019
◽
Keyword(s):
Parabolic Equation
◽
Nonlinear Parabolic Equation
◽
Blow Up
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Nonlinear Parabolic
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