Geodesic
On the finite-time blowup of solutions to initial–boundary value problems for pseudoparabolic equations with pseudo-Laplacian
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 2, pp. 272-286

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Initial–boundary value problems for pseudoparabolic equations with pseudo-Laplacian are considered. The local and global unique solvability of the problems under consideration is proved in a weakened sense. Furthermore, sufficient conditions for the blowup of solutions in a finite time are obtained. For certain problems, upper bounds are found for the blowup time of solutions. A physical interpretation of the results is presented. 
@article{ZVMMF_2005_45_2_a10,
     author = {M. O. Korpusov and A. G. Sveshnikov},
     title = {On the finite-time blowup of solutions to initial{\textendash}boundary value problems for pseudoparabolic equations with {pseudo-Laplacian}},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {272--286},
     publisher = {mathdoc},
     volume = {45},
     number = {2},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_2_a10/}
}
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M. O. Korpusov; A. G. Sveshnikov. On the finite-time blowup of solutions to initial–boundary value problems for pseudoparabolic equations with pseudo-Laplacian. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 2, pp. 272-286. http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_2_a10/