Quasilinearization for some nonlocal problems

Yunfeng Yin

International Journal of Stochastic Analysis, 1993, vol. 6, 1-6

Abstract:

The method of generalized quasilinearization [4] is applied to study semilinear parabolic equation u t − L u = f ( t , x , u ) with nonlocal boundary conditions u ( t , x ) = ∫ Ω ϕ ( x , y ) u ( t , y ) d y in this paper. The convexity of f in u is relaxed by requiring f ( t , x , u ) + M u 2 to be convex for some M > 0 . The quadratic convergence of monotone sequence is obtained.

Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:590323

DOI: 10.1155/S1048953393000115

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