On blowing-up of solutions of Sobolev-type equation with source

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Abstract

We consider the initial-boundary-value problem for the three-dimensional, Sobolev-type equation with source. Under some conditions, the theorems on blowup of solutions at finite time of this problem are obtained. Two sided estimates for blowing-up are derived.

Keywords

blow up , Sobolev type equation , pseudoparabolic equation , nonlinear equation , breaking of waves
  • M.O Korpusov Division of Mathematics, Physics Department, Moscow state University Vorobievy hills, Moscow, Russia.
  • A. G. Sveschnikov Division of Mathematics, Physics Department, Moscow state University Vorobievy hills, Moscow, Russia.
  • Pages: 57–69
  • Date Published: 2005-04-01
  • Vol. 7 No. 1 (2005): CUBO, A Mathematical Journal

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Published

2005-04-01

How to Cite

[1]
M. Korpusov and A. G. Sveschnikov, “On blowing-up of solutions of Sobolev-type equation with source”, CUBO, vol. 7, no. 1, pp. 57–69, Apr. 2005.

Issue

Vol. 7 No. 1 (2005): CUBO, A Mathematical Journal

Section

Articles