On the optimal strategy for an isotropic blocking problem

DOI10.1007/s00526-011-0453-4zbMath1248.49012OpenAlexW2031079906WikidataQ59263927 ScholiaQ59263927MaRDI QIDQ453750

Alberto Bressan, Tao Wang

Publication date: 27 September 2012

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-011-0453-4

zbMATH Keywords

dynamic blocking problemcontrol of wild firesoptimal single closed curve

Mathematics Subject Classification ID

Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Existence theories for problems in abstract spaces (49J27)

Related Items (5)

An equivalence theorem on minimum sheltering speed for non-convex habitats ⋮ On a Fire Fighter’s Problem ⋮ Geometric firefighting in the half-plane ⋮ Dynamic sheltering problem and an existence theorem for admissible strategies ⋮ On the regularity of optimal dynamic blocking strategies

Cites Work

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• SBV regularity for Hamilton-Jacobi equations in \(\mathbb R^n\)
• Outer Minkowski content for some classes of closed sets
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• Integral representation on \(BV(\Omega )\) of \(\Gamma\)-limits of variational integrals
• Functions of bounded variation and rearrangements
• Differential inclusions and the control of forest fires
• Equivalent formulation and numerical analysis of a fire confinement problem
• BLOCKING STRATEGIES FOR A FIRE CONTROL PROBLEM
• Existence of optimal strategies for a fire confinement problem
• The Realization of small Distances in Plane Sets of Positive Measure

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