Infinite Time Blow-Up of Solutions to a Fourth-Order Nonlinear Parabolic Equation with Logarithmic Nonlinearity Modeling Epitaxial Growth

Hang Ding; Jun Zhou

doi:10.1007/s00009-021-01880-9

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

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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

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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

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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

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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

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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

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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 ◽

Nonlinear Parabolic

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