Geodesic
Nonexistence of Global Weak Solutions for Evolution Equations with Fractional Laplacian
Matematičeskie zametki, Tome 108 (2020) no. 6, pp. 911-919

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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.
Mots-clés : parabolic equation
Keywords: fractional Laplacian, blow-up of solutions. 
@article{MZM_2020_108_6_a7,
     author = {A. Z. Fino and E. I. Galakhov and O. A. Salieva},
     title = {Nonexistence of {Global} {Weak} {Solutions} for {Evolution} {Equations} with {Fractional} {Laplacian}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {911--919},
     publisher = {mathdoc},
     volume = {108},
     number = {6},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2020_108_6_a7/}
}
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A. Z. Fino; E. I. Galakhov; O. A. Salieva. Nonexistence of Global Weak Solutions for Evolution Equations with Fractional Laplacian. Matematičeskie zametki, Tome 108 (2020) no. 6, pp. 911-919. http://geodesic.mathdoc.fr/item/MZM_2020_108_6_a7/