A projection method for a~third-order operator differential equation with a~nonlinear monotone operator

P. V. Vinogradova ; A. M. Samusenko

Sibirskij žurnal industrialʹnoj matematiki, Tome 15 (2012) no. 4, pp. 64-70.

Résumé

We study the Galerkin method for a third-order operator-differential equation with the main self-adjoint operator $A$ and the subordinate nonlinear monotone operator $K$ in a separable Hilbert space. The existence and uniqueness of a strong solution to the original problem are proved. Convergence estimates for the Galerkin method are obtained.

Détail

Keywords: operator-differential equation, monotone operator, strong solution, Galerkin method.
Mots-clés : convergence rate

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