FAR EASTERN BRANCH OF THE RUSSIAN ACADEMY OF SCIENCES
INSTITUTE OF APPLIED MATHEMATICS KHABAROVSK DIVISION
Far Eastern Mathematical Journal
On the method of Galerkin for the quasilinear parabolic equations in noncylindric domain |
P. V. Vinogradova, A. G. Zarubin |
2002, issue 1, P. 3–17 |
Abstract |
| This article investigates the boundary value problem for the quasilinear parabolic equations. The existence of solutions in Sobolev's spaces $W^{2m,1}_p$ is proved, as well as the convergent of the approximate solutions, built according to Galerkin's method, to the exact solution with respect to the norm of the space $W^{2m,1}_2$. The estimates of the convergence for some types of nonlinean are obtained. |
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References |
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