Geodesic
On the absence of global solutions of the Korteweg--de~Vries equation
Contemporary Mathematics. Fundamental Directions, Partial differential equations, Tome 39 (2011), pp. 141-150

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This paper is devoted to the problem of existence of global solutions of the Korteweg–de Vries equation. For certain initial–boundary problems for the Korteweg–de Vries equation, we obtain necessary conditions of existence (in other words, sufficient conditions of nonexistence) of global solutions. 
@article{CMFD_2011_39_a7,
     author = {S. I. Pohozaev},
     title = {On the absence of global solutions of the {Korteweg--de~Vries} equation},
     journal = {Contemporary Mathematics. Fundamental Directions},
     pages = {141--150},
     publisher = {mathdoc},
     volume = {39},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMFD_2011_39_a7/}
}
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S. I. Pohozaev. On the absence of global solutions of the Korteweg--de~Vries equation. Contemporary Mathematics. Fundamental Directions, Partial differential equations, Tome 39 (2011), pp. 141-150. http://geodesic.mathdoc.fr/item/CMFD_2011_39_a7/