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Applicable Analysis
An International Journal
Volume 95, 2016 - Issue 9
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Original Articles

Blow-up problem for semilinear heat equation with nonlinear nonlocal boundary condition

Alexander GladkovDepartment of Mechanics and Mathematics, Belarusian State University, Nezavisimosti avenue 4, 220030Minsk, Belarus.Correspondence[email protected]
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Tatiana KavitovaDepartment of Mathematics, Vitebsk State University, Moskovskii pr. 33, 210038Vitebsk, Belarus.View further author information
Pages 1974-1988 | Received 08 May 2015, Accepted 03 Aug 2015, Published online: 26 Aug 2015

Citations (15)

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Read on this site (2)

Wei Kou & Juntang Ding. (2021) Blow-up phenomena for p-Laplacian parabolic equations under nonlocal boundary conditions. Applicable Analysis 100:16, pages 3350-3365.
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Alexander Gladkov & Mohammed Guedda. (2020) Global existence of solutions of a semilinear heat equation with nonlinear memory condition. Applicable Analysis 99:16, pages 2823-2832.
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Articles from other publishers (13)

Alexander Gladkov. (2023) Global existence and blow-up of solutions of nonlinear nonlocal parabolic equation with absorption under nonlinear nonlocal boundary condition. Monatshefte für Mathematik 203:2, pages 357-372.
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Wentao Huo, Chenyuan Jia & Zhong Bo Fang. (2024) On a Porous Medium Equation with Weighted Inner Source Terms and a Nonlinear Nonlocal Boundary Condition. Taiwanese Journal of Mathematics -1:-1.
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Wentao Huo & Zhong Bo Fang. (2023) Blow-Up Analysis for Heat Equation with a Nonlocal Weighted Exponential Boundary Flux. Mediterranean Journal of Mathematics 20:3.
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Alexander Gladkov & Tatiana Kavitova. (2020) Global existence of solutions of initial boundary value problem for nonlocal parabolic equation with nonlocal boundary condition. Mathematical Methods in the Applied Sciences 43:8, pages 5464-5479.
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Alexander Gladkov & Mohammed Guedda. (2020) Influence of variable coefficients on global existence of solutions of semilinear heat equations with nonlinear boundary conditions. Electronic Journal of Qualitative Theory of Differential Equations:63, pages 1-11.
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Bingchen Liu, Guicheng Wu, Xizheng Sun & Fengjie Li. (2019) Blow-up estimate in a reaction–diffusion equation with nonlinear nonlocal flux and source. Computers & Mathematics with Applications 78:6, pages 1862-1877.
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Bingchen Liu, Hongyan Lin, Fengjie Li & Xiangyu Wang. (2019) Blow-up analyses in reaction–diffusion equations with nonlinear nonlocal boundary flux. Zeitschrift für angewandte Mathematik und Physik 70:4.
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Juntang Ding & Wei Kou. (2019) Blow-up solutions for reaction diffusion equations with nonlocal boundary conditions. Journal of Mathematical Analysis and Applications 470:1, pages 1-15.
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Bingchen Liu, Mengzhen Dong & Fengjie Li. (2018) Asymptotic properties of blow-up solutions in reaction–diffusion equations with nonlocal boundary flux. Zeitschrift für angewandte Mathematik und Physik 69:2.
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A. L. Gladkov & A. I. Nikitin. (2018) On Global Existence of Solutions of Initial Boundary Value Problem for a System of Semilinear Parabolic Equations with Nonlinear Nonlocal Neumann Boundary Conditions. Differential Equations 54:1, pages 86-105.
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Alexander Gladkov. (2017) Initial boundary value problem for a semilinear parabolic equation with absorption and nonlinear nonlocal boundary condition*. Lithuanian Mathematical Journal 57:4, pages 468-478.
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Guangsheng Zhong & Ruijin Du. (2017) A nonlinear parabolic system with norm-type sources and nonlocal boundaries. A nonlinear parabolic system with norm-type sources and nonlocal boundaries.
Alexander Gladkov. (2017) Blow-up problem for semilinear heat equation with nonlinear nonlocal Neumann boundary condition. Communications on Pure & Applied Analysis 16:6, pages 2053-2068.
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