Necessary optimality conditions for Lagrange problems involving ordinary control systems described by fractional Laplace operators

DOI10.15388/namc.2020.25.19279zbMath1464.49013OpenAlexW3082689783MaRDI QIDQ5124312

Rafał Kamocki

Publication date: 18 September 2020

Published in: Nonlinear Analysis: Modelling and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15388/namc.2020.25.19279

zbMATH Keywords

fractional Laplace operatorDirichlet and Dirichlet-Neumann boundary conditionsspectral representation of a self-adjoint operatormooth-convex extremum principle

Mathematics Subject Classification ID

Semidefinite programming (90C22) Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60) Optimality conditions for free problems in two or more independent variables (49K10) Fractional partial differential equations (35R11)

Related Items (2)

Existence of optimal solutions to Lagrange problems for ordinary control systems involving fractional Laplace operators ⋮ Optimal control of a nonlinear PDE governed by fractional Laplacian

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On some critical problems for the fractional Laplacian operator
• Hitchhiker's guide to the fractional Sobolev spaces
• Fractional Laplacians on domains, a development of Hörmander's theory of \(\mu\)-transmission pseudodifferential operators
• A priori estimates for fractional nonlinear degenerate diffusion equations on bounded domains
• The Brezis-Nirenberg type problem involving the square root of the Laplacian
• Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
• Positive solutions of nonlinear problems involving the square root of the Laplacian
• Getting acquainted with the fractional Laplacian
• Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian
• Two-sided eigenvalue estimates for subordinate processes in domains
• A Space-Time Fractional Optimal Control Problem: Analysis and Discretization
• Nonlinear Diffusion with Fractional Laplacian Operators
• A New Type of Identification Problems: Optimizing the Fractional Order in a Nonlocal Evolution Equation
• Lagrange problem for fractional ordinary elliptic system via Dubovitskii–Milyutin method
• A FEM for an Optimal Control Problem of Fractional Powers of Elliptic Operators
• Optimal Control of a Coercive Dirichlet Problem
• Optimal Control of a Signorini Problem
• Financial Modelling with Jump Processes
• Optimal control of systems governed by fractional Laplacian in the minimax framework
• Bernstein functions. Theory and applications

This page was built for publication: Necessary optimality conditions for Lagrange problems involving ordinary control systems described by fractional Laplace operators