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Sibirskii Zhurnal Industrial'noi Matematiki, 2012, Volume 15, Number 4, Pages 64–70 (Mi sjim752)  
A projection method for a third-order operator differential equation with a nonlinear monotone operator

P. V. Vinogradova, A. M. Samusenko

Far Eastern State Transport University, Khabarovsk, Russia
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Abstract: 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.
Keywords: operator-differential equation, monotone operator, strong solution, convergence rate, Galerkin method.
Received: 03.08.2012
Bibliographic databases:
Document Type: Article
UDC: 517.9+519.62
Language: Russian
Citation: P. V. Vinogradova, A. M. Samusenko, “A projection method for a third-order operator differential equation with a nonlinear monotone operator”, Sib. Zh. Ind. Mat., 15:4 (2012), 64–70
Citation in format AMSBIB
\Bibitem{VinSam12}
\by P.~V.~Vinogradova, A.~M.~Samusenko
\paper A projection method for a~third-order operator differential equation with a~nonlinear monotone operator
\jour Sib. Zh. Ind. Mat.
\yr 2012
\vol 15
\issue 4
\pages 64--70
\mathnet{http://mi.mathnet.ru/sjim752}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3112359}
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