Quasilinearization Method for Nonlinear Elliptic Boundary-Value Problems

A. Buică
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A. Buică: Babeş-Bolyai University

Journal of Optimization Theory and Applications, 2005, vol. 124, issue 2, No 4, 323-338

Abstract: Abstract The quasilinearization method is developed for strong solutions of semilinear and nonlinear elliptic boundary-value problems. We obtain two monotone, Lp-convergent sequences of approximate solutions. The order of convergence is two. The tools are some results on the abstract quasilinearization method and from weakly–near operators theory.

Keywords: Elliptic boundary-value problem; nonlinear boundary-value problems; strong solutions; lower and upper solutions; approximations; quasilinearization (search for similar items in EconPapers)
Date: 2005
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DOI: 10.1007/s10957-004-0928-y

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