Journal of Applied Analysis EMIS ELibM Electronic Journals Journal of Applied Analysis
Vol. 3, No. 2, pp. 225-238 (2003)

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The gradient method for non-differentiable operators in product Hilbert spaces and applications to elliptic systems of quasilinear differential equations

J. Karatson

J. Karatson
Eotvos Lorand University
Department of Applied Analysis
H-1088 Budapest
Hungary

Abstract: The gradient method is considered in Hilbert spaces. Earlier results on linear convergence are extended to systems of equations with certain non-differentiable operators. The method includes the approximate solution of elliptic systems of quasilinear boundary value problems.

Keywords: Gradient method, systems of operator equations, elliptic systems of quasilinear boundary value problems

Classification (MSC2000): 46N20, 35J65, 49M10

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Electronic version published on: 12 Jun 2003. This page was last modified: 12 Jun 2003.

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