Generalized quasilinearization for quasilinear parabolic equations with nonlinearities of DC type

DOI10.1023/A:1017505603454zbMath0984.35087OpenAlexW18407952MaRDI QIDQ5942343

Vangipuram Lakshmikantham, Siegfried Carl

Publication date: 28 August 2001

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1017505603454

zbMATH Keywords

upper and lower solutionsmonotone iterative techniquedifference of two convex functions

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Theoretical approximation in context of PDEs (35A35)

Related Items

Existence and quasilinearization in Banach spaces ⋮ The sub- and supersolution method for variational-hemivariational inequalities ⋮ Quasilinearization method for nonlinear elliptic boundary-value problems ⋮ Generalized quasilinearization method for reaction-diffusion equations under nonlinear and nonlocal flux conditions

Cites Work

• On the existence of extremal weak solutions for a class of quasilinear parabolic problems
• Generalized quasilinearization and semilinear parabolic problems
• Introduction to global optimization
• Methods of nonlinear analysis. Vol. II
• Generalized quasilinearization and semilinear degenerate elliptic problems.
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