Global Existence, Blow-Up, and Asymptotic Behavior for Kirchhoff Type Equations with Fractional Laplacian
Jabbarkhanov K.
June 2025Springer
Journal of Mathematical Sciences (United States)
2025#291Issue 126 - 37 pp.
We study a class of pseudoparabolic equations of Kirchhoff type involving the fractional Laplacian. Using the concavity method, we establish sufficient conditions for the global existence and finite-time blow-up of solutions.
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Nazarbayev University, 53, Kabanbay Batyr Av, Astana, 010000, Kazakhstan
Institute of Mathematics and Mathematical Modeling, 125, Pushkin St, Almaty, 050010, Kazakhstan
Nazarbayev University
Institute of Mathematics and Mathematical Modeling
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