Solving inverse problems for variational equations using ``generalized collage methods, with applications to boundary value problems

DOI10.1016/J.NONRWA.2010.02.003zbMath1197.49041OpenAlexW1966211606MaRDI QIDQ708530

Edward R. Vrscay, Herb E. Kunze, Davide La Torre

Publication date: 14 October 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2010.02.003

zbMATH Keywords

inverse problemsstochastic boundary value problemsdeterministic boundary value problemsgeneralized collage method

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Optimal stochastic control (93E20) Control problems involving ordinary differential equations (34H05) Existence theories for optimal control problems involving partial differential equations (49J20) Inverse problems in optimal control (49N45)

Related Items (9)

Solving inverse problems for biological models using the collage method for differential equations ⋮ Solving inverse problems for mixed-variational equations on perforated domains ⋮ Uncertain inverse problem for fractional dynamical systems using perturbed collage theorem ⋮ Using the generalized collage theorem for estimating unknown parameters in perturbed mixed variational equations ⋮ Galerkin schemes and inverse boundary value problems in reflexive Banach spaces ⋮ Fractal-based methods and inverse problems for differential equations: current state of the art ⋮ Galerkin method for constrained variational equations and a collage-based approach to related inverse problems ⋮ Solving inverse problems for differential equations by a ``generalized collage method and application to a mean field stochastic model ⋮ Numerical solution for an inverse variational problem

Cites Work

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