Geodesic
Blow-up of solutions of an inhomogeneous system of Sobolev-type equations
Izvestiya. Mathematics , Tome 76 (2012) no. 3, pp. 581-606

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We consider a system of two inhomogeneous non-linear Sobolev-type equations of order 6 with second derivative with respect to the time variable. We prove that the problem is soluble locally in time, state sufficient conditions for blow-up of a solution at finite time, and give an upper bound for the blow-up time.
Keywords: blow-up, non-linear initial-boundary value problem
Mots-clés : Sobolev-type equations. 
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     author = {Yu. V. Mukhartova and A. A. Panin},
     title = {Blow-up of solutions of an inhomogeneous system of {Sobolev-type} equations},
     journal = {Izvestiya. Mathematics },
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2012_76_3_a6/}
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Yu. V. Mukhartova; A. A. Panin. Blow-up of solutions of an inhomogeneous system of Sobolev-type equations. Izvestiya. Mathematics , Tome 76 (2012) no. 3, pp. 581-606. http://geodesic.mathdoc.fr/item/IM2_2012_76_3_a6/