Blowup profile for a complex valued semilinear heat equation

Junichi Harada

doi:10.1016/j.jfa.2016.03.015

Blowup profile for a complex valued semilinear heat equation

Journal of Functional Analysis ◽

10.1016/j.jfa.2016.03.015 ◽

2016 ◽

Vol 270 (11) ◽

pp. 4213-4255 ◽

Cited By ~ 8

Author(s):

Junichi Harada

Keyword(s):

Heat Equation ◽

Semilinear Heat Equation ◽

Blowup Profile ◽

Complex Valued

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Profile for a Simultaneously Blowing up Solution to a Complex Valued Semilinear Heat Equation

Communications in Partial Differential Equations ◽

10.1080/03605302.2015.1018997 ◽

2015 ◽

Vol 40 (7) ◽

pp. 1197-1217 ◽

Cited By ~ 22

Author(s):

Nejla Nouaili ◽

Hatem Zaag

Keyword(s):

Heat Equation ◽

Semilinear Heat Equation ◽

Blowing Up ◽

Complex Valued

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Profile for the imaginary part of a blowup solution for a complex-valued semilinear heat equation

Journal of Functional Analysis ◽

10.1016/j.jfa.2019.05.009 ◽

2019 ◽

Vol 277 (5) ◽

pp. 1531-1579 ◽

Cited By ~ 1

Author(s):

Giao Ky Duong

Keyword(s):

Heat Equation ◽

Imaginary Part ◽

Blowup Solution ◽

Semilinear Heat Equation ◽

Complex Valued

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Nonsimultaneous blowup for a complex valued semilinear heat equation

Journal of Differential Equations ◽

10.1016/j.jde.2017.05.024 ◽

2017 ◽

Vol 263 (8) ◽

pp. 4503-4516 ◽

Cited By ~ 1

Author(s):

Junichi Harada

Keyword(s):

Heat Equation ◽

Semilinear Heat Equation ◽

Complex Valued

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Blow-up sets for a complex-valued semilinear heat equation

Journal of Evolution Equations ◽

10.1007/s00028-016-0341-7 ◽

2016 ◽

Vol 17 (2) ◽

pp. 849-867 ◽

Cited By ~ 1

Author(s):

Junichi Harada

Keyword(s):

Heat Equation ◽

Blow Up ◽

Semilinear Heat Equation ◽

Complex Valued

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Finite degrees of freedom for the refined blow-up profile of the semilinear heat equation

Annales Scientifiques de l École Normale Supérieure ◽

10.24033/asens.2644 ◽

2017 ◽

Vol 50 (5) ◽

pp. 1241-1282 ◽

Cited By ~ 1

Author(s):

Van Tien Nguyen ◽

Hatem Zaag

Keyword(s):

Heat Equation ◽

Degrees Of Freedom ◽

Blow Up ◽

Semilinear Heat Equation

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A remark on self-similar solutions for a semilinear heat equation with critical Sobolev exponent

Nonlinear Dynamics in Partial Differential Equations ◽

10.2969/aspm/06410461 ◽

2019 ◽

Author(s):

Yūki Naito

Keyword(s):

Heat Equation ◽

Critical Sobolev Exponent ◽

Semilinear Heat Equation ◽

Self Similar ◽

Sobolev Exponent ◽

Remarks on a semilinear heat equation with integral boundary conditions

Nonlinear Analysis ◽

10.1016/j.na.2006.06.012 ◽

2007 ◽

Vol 67 (2) ◽

pp. 468-475 ◽

Cited By ~ 7

Author(s):

Dao-Qing Dai ◽

Yu Huang

Keyword(s):

Boundary Conditions ◽

Heat Equation ◽

Integral Boundary Conditions ◽

Integral Boundary ◽

Semilinear Heat Equation

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Corrigendum to “Exponential stabilization of the semilinear heat equation with nonlocal boundary conditions” [J. Math. Anal. Appl. 492 (2) (2020) 124512]

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2021.124941 ◽

2021 ◽

Vol 498 (1) ◽

pp. 124941

Author(s):

Ionuţ Munteanu

Keyword(s):

Boundary Conditions ◽

Heat Equation ◽

Nonlocal Boundary ◽

Nonlocal Boundary Conditions ◽

Exponential Stabilization ◽

Semilinear Heat Equation

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Minimal Time Impulse Control Problem of Semilinear Heat Equation

Journal of Optimization Theory and Applications ◽

10.1007/s10957-020-01807-6 ◽

2021 ◽

Author(s):

Lijuan Wang

Keyword(s):

Heat Equation ◽

Control Problem ◽

Impulse Control ◽

Semilinear Heat Equation ◽

Impulse Control Problem ◽

Minimal Time

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The quenching phenomenon of a nonlocal semilinear heat equation with a weak singularity

Applied Mathematics and Computation ◽

10.1016/j.amc.2008.01.006 ◽

2008 ◽

Vol 201 (1-2) ◽

pp. 701-709 ◽

Cited By ~ 1

Author(s):

Yuanhong Zhi ◽

Chunlai Mu ◽

Daming Yuan

Keyword(s):

Heat Equation ◽

Weak Singularity ◽

Semilinear Heat Equation ◽

Quenching Phenomenon

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