Implicit functions and parametrizations in dimension three: generalized solutions

DOI10.3934/dcds.2015.35.2701zbMath1336.26013OpenAlexW2317442758MaRDI QIDQ255646

Dan Tiba, Mihaela Roxana Nicolai

Publication date: 9 March 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2015.35.2701

zbMATH Keywords

generalized solutionsHamiltonian systemsdifferential equationsimplicit function theoremscritical casesparametrizations

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Surfaces in Euclidean and related spaces (53A05) Implicit function theorems, Jacobians, transformations with several variables (26B10)

Related Items (4)

Periodic Hamiltonian systems in shape optimization problems with Neumann boundary conditions ⋮ Implicit parametrizations and applications in optimization and control ⋮ Topological optimization via cost penalization ⋮ Iterated Hamiltonian type systems and applications

Cites Work

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• Fixed domain approaches in shape optimization problems
• Optimization of Elliptic Systems
• Implicit Functions and Solution Mappings
• Fixed domain approaches in shape optimization problems with Dirichlet boundary conditions
• A Penalization and Regularization Technique in Shape Optimization Problems

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