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Session 30. Real Algebraic Geometry, applications and related topics
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Deciding boundedness of polynomials |
Maria Michalska, University of Łódź, Poland
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Given a real semialgebraic set \(S\subset R^n\) and a real
polynomial \(f\) in \(n\) variables, we will discuss how to decide
whether \(f\) is bounded on \(S\). The key step will be an inductive
process and a suitable cell decomposition of the set \(S\)
independent of the polynomial \(f\). This approach uses classic
tools of real algebraic geometry.
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