Symmetry in Calculus of Variations and Control Theory
A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Mathematics".
Deadline for manuscript submissions: closed (31 December 2019) | Viewed by 4137
Special Issue Editor
Special Issue Information
Dear Colleagues,
The study of the symmetry of solutions to minimization problems in the Calculus of Variations or to Optimal Control Problems has a long tradition.
This is due to the fact that knowing in advance that solutions to these problems are symmetric (e.g., radially symmetric) is of great importance from both a theoretical and a computational point of view.
Namely, symmetry can be used as a first step in uniqueness results, or to reduce the computational complexity of the numerical approximation of the problem.
This Special Issue invites contributions on various aspects of symmetry for these kinds of problems, including but not limited to radial symmetry of solutions, symmetry with respect to a hyperplane, the moving planes method, symmetrization methods, and rearrangement techniques.
Prof. Graziano Crasta
Guest Editor
Manuscript Submission Information
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Keywords
- Radially symmetric solutions
- Symmetry of minimizers of integral functionals
- Symmetry of solutions to control problem
- Symmetrization methods and rearrangements
- Reflection techniques
- Moving planes
