Global existence and blow-up for a fourth order parabolic equation involving the Hessian

Nonlinear Differential Equations and Applications NoDEA ◽

10.1007/s00030-017-0465-7 ◽

2017 ◽

Vol 24 (4) ◽

Cited By ~ 2

Author(s):

Guangyu Xu ◽

Jun Zhou

Keyword(s):

Parabolic Equation ◽

Global Existence ◽

Fourth Order ◽

Blow Up ◽

Order Parabolic Equation ◽

Fourth Order Parabolic Equation

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Global existence and non-extinction of solutions to a fourth-order parabolic equation

Applied Mathematics Letters ◽

10.1016/j.aml.2016.05.002 ◽

2016 ◽

Vol 61 ◽

pp. 20-25 ◽

Cited By ~ 11

Author(s):

Yang Cao ◽

Conghui Liu

Keyword(s):

Parabolic Equation ◽

Global Existence ◽

Fourth Order ◽

Order Parabolic Equation ◽

Fourth Order Parabolic Equation

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Local and global existence of solutions to a fourth-order parabolic equation modeling kinetic roughening and coarsening in thin films

Communications in Mathematical Sciences ◽

10.4310/cms.2017.v15.n8.a5 ◽

2017 ◽

Vol 15 (8) ◽

pp. 2195-2218

Author(s):

Xiangsheng Xu

Keyword(s):

Thin Films ◽

Parabolic Equation ◽

Global Existence ◽

Fourth Order ◽

Existence Of Solutions ◽

Equation Modeling ◽

Kinetic Roughening ◽

Global Existence Of Solutions ◽

Order Parabolic Equation ◽

Fourth Order Parabolic Equation

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Blow-up of solutions to a fourth-order parabolic equation with/without p-Laplician and general nonlinearity modeling epitaxial growth

Analysis and Mathematical Physics ◽

10.1007/s13324-021-00566-5 ◽

2021 ◽

Vol 11 (3) ◽

Author(s):

Jun Zhou

Keyword(s):

Parabolic Equation ◽

Epitaxial Growth ◽

Fourth Order ◽

Blow Up ◽

Order Parabolic Equation ◽

Fourth Order Parabolic Equation ◽

General Nonlinearity

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Global existence of solutions to a fully nonlinear fourth-order parabolic equation in exterior domains

Nonlinear Analysis ◽

10.1016/0362-546x(91)90190-c ◽

1991 ◽

Vol 17 (11) ◽

pp. 1027-1038 ◽

Cited By ~ 2

Author(s):

Reinhard Racke ◽

Songmu Zheng

Keyword(s):

Parabolic Equation ◽

Global Existence ◽

Fourth Order ◽

Existence Of Solutions ◽

Exterior Domains ◽

Fully Nonlinear ◽

Global Existence Of Solutions ◽

Order Parabolic Equation ◽

Fourth Order Parabolic Equation

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Blow-Up Phenomena for a Fourth-Order Parabolic Equation with a General Nonlinearity

Journal of Dynamical and Control Systems ◽

10.1007/s10883-020-09495-1 ◽

2020 ◽

Author(s):

Yuzhu Han

Keyword(s):

Parabolic Equation ◽

Fourth Order ◽

Blow Up ◽

Order Parabolic Equation ◽

Fourth Order Parabolic Equation ◽

General Nonlinearity

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A Degenerate Fourth-Order Parabolic Equation Modeling Bose-Einstein Condensation Part II: Finite-Time Blow-Up

Communications in Partial Differential Equations ◽

10.1080/03605302.2015.1043558 ◽

2015 ◽

Vol 40 (9) ◽

pp. 1748-1786 ◽

Cited By ~ 1

Author(s):

Ansgar Jüngel ◽

Michael Winkler

Keyword(s):

Parabolic Equation ◽

Fourth Order ◽

Finite Time ◽

Blow Up ◽

Equation Modeling ◽

Einstein Condensation ◽

Bose Einstein Condensation ◽

Order Parabolic Equation ◽

Fourth Order Parabolic Equation ◽

Bose Einstein

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Blow-up phenomena for a class of fourth order parabolic equation

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2021.125445 ◽

2021 ◽

pp. 125445

Author(s):

Xiangkun Shao ◽

Guo-ji Tang

Keyword(s):

Parabolic Equation ◽

Fourth Order ◽

Blow Up ◽

Order Parabolic Equation ◽

Fourth Order Parabolic Equation

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Uniform null controllability of a fourth-order parabolic equation with a transport term

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2021.124979 ◽

2021 ◽

Vol 498 (2) ◽

pp. 124979

Author(s):

Marcos López-García ◽

Alberto Mercado

Keyword(s):

Parabolic Equation ◽

Fourth Order ◽

Null Controllability ◽

Order Parabolic Equation ◽

Fourth Order Parabolic Equation ◽

Transport Term

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Null controllability for a fourth order parabolic equation

Science in China Series F Information Sciences ◽

10.1007/s11432-009-0203-9 ◽

2009 ◽

Vol 52 (11) ◽

pp. 2127-2132 ◽

Cited By ~ 1

Author(s):

Hang Yu

Keyword(s):

Parabolic Equation ◽

Fourth Order ◽

Null Controllability ◽

Order Parabolic Equation ◽

Fourth Order Parabolic Equation

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On the solutions of a fourth order parabolic equation modeling epitaxial thin film growth

Mathematica Slovaca ◽

10.1515/ms-2015-0167 ◽

2016 ◽

Vol 66 (3) ◽

Cited By ~ 1

Author(s):

Ning Duan ◽

Xiaopeng Zhao ◽

Xiufang Zhao

Keyword(s):

Thin Film ◽

Parabolic Equation ◽

Fourth Order ◽

Film Growth ◽

Thin Film Growth ◽

Equation Modeling ◽

Epitaxial Thin Film ◽

Epitaxial Thin Film Growth ◽

Order Parabolic Equation ◽

Fourth Order Parabolic Equation

AbstractIn this paper, we study the existence and uniqueness of global weak solution, the regularity of the solutions and the existence of global attractor for a fourth order parabolic equation modeling epitaxial thin film growth with Neumann boundary conditions in two space dimensions.

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