Geodesic
A projection method for a~third-order operator differential equation with a~nonlinear monotone operator
Sibirskij žurnal industrialʹnoj matematiki, Tome 15 (2012) no. 4, pp. 64-70

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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, Galerkin method.
Mots-clés : convergence rate 
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     author = {P. V. Vinogradova and A. M. Samusenko},
     title = {A projection method for a~third-order operator differential equation with a~nonlinear monotone operator},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {64--70},
     publisher = {mathdoc},
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     url = {http://geodesic.mathdoc.fr/item/SJIM_2012_15_4_a5/}
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P. V. Vinogradova; A. M. Samusenko. A projection method for a~third-order operator differential equation with a~nonlinear monotone operator. Sibirskij žurnal industrialʹnoj matematiki, Tome 15 (2012) no. 4, pp. 64-70. http://geodesic.mathdoc.fr/item/SJIM_2012_15_4_a5/