Geodesic
On the blowup of solutions to semilinear pseudoparabolic equations with rapidly growing nonlinearities
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 1, pp. 145-155

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The first initial-boundary value problems for nonlinear pseudoparabolic equations with rapidly growing nonlinearities are considered. The unique solvability is proved in the classical and weakened senses. In this case, in a finite amount of time, the maximum absolute value of the solution with respect to the spatial variables becomes infinite; i.e., a strong discontinuity of the solutions to the problems under consideration is formed in a finite amount of time. 
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     author = {M. O. Korpusov and A. G. Sveshnikov},
     title = {On the blowup of solutions to semilinear pseudoparabolic equations with rapidly growing nonlinearities},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     number = {1},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_1_a9/}
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M. O. Korpusov; A. G. Sveshnikov. On the blowup of solutions to semilinear pseudoparabolic equations with rapidly growing nonlinearities. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 1, pp. 145-155. http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_1_a9/