A perturbation study of a jet-like annular free boundary problem and an application to an optimal control problem

DOI10.1080/03605308108820175zbMath0457.35035OpenAlexW2086016236MaRDI QIDQ3905630

Alain Dervieux

Publication date: 1981

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605308108820175

zbMATH Keywords

optimal controluniquenesslocal existenceelliptic problemsfree boundary problemsimplicit function theoremdata dependence

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Perturbations in context of PDEs (35B20) Free boundary problems for PDEs (35R35) Implicit function theorems, Jacobians, transformations with several variables (26B10) Elliptic equations and elliptic systems (35J99)

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