Optimal shape design of 1D fractional order heat equation in large time
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Publication:6656745
DOI10.1007/s44198-024-00246-5MaRDI QIDQ6656745
Publication date: 3 January 2025
Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)
Partial differential equations (35-XX) Calculus of variations and optimal control; optimization (49-XX)
Cites Work
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- The second eigenvalue of the fractional \(p\)-Laplacian
- The turnpike property in finite-dimensional nonlinear optimal control
- Eigenvalues of the fractional Laplace operator in the interval
- An introduction to \(\Gamma\)-convergence
- The shape and topological optimizations' connection
- Integral and measure-turnpike properties for infinite-dimensional optimal control systems
- Some nonlocal optimal design problems
- A class of shape optimization problems for some nonlocal operators
- On optimal shape design
- Variational methods for non-local operators of elliptic type
- On critical Kirchhoff problems driven by the fractional Laplacian
- Unique continuation property and Poincaré inequality for higher order fractional Laplacians with applications in inverse problems
- Shape turnpike for linear parabolic PDE models
- Exponential sensitivity and turnpike analysis for linear quadratic optimal control of general evolution equations
- Symmetrization for fractional elliptic and parabolic equations and an isoperimetric application
- Variational methods in shape optimization problems
- On turnpike and dissipativity properties of continuous-time optimal control problems
- Finite-element approximation of 2D elliptic optimal design
- Applied shape optimization for fluids
- Long Time Behavior of a Two-Phase Optimal Design for the Heat Equation
- An Exponential Turnpike Theorem for Dissipative Discrete Time Optimal Control Problems
- Euler Equations, Navier-Stokes Equations and Turbulence
- Steady-State and Periodic Exponential Turnpike Property for Optimal Control Problems in Hilbert Spaces
- Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints
- Optimal shape design for 2D heat equations in large time
- On shape optimization problems involving the fractional laplacian
- Turnpike Theorems for a Generalized Leontief Model
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
- Shape optimization by the homogenization method
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