Abstract
A nonlocal nonlinear parabolic equation with fractional Laplacian is considered. By means of the method of test functions, the nonexistence of nontrivial global weak solutions is demonstrated. Simultaneously, the nonexistence of nontrivial weak solutions for the corresponding elliptic case is established.
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This work was supported in part by Program 5-100 of RUDN University.
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Fino, A.Z., Galakhov, E.I. & Salieva, O.A. Nonexistence of Global Weak Solutions for Evolution Equations with Fractional Laplacian. Math Notes 108, 877–883 (2020). https://doi.org/10.1134/S0001434620110292
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DOI: https://doi.org/10.1134/S0001434620110292