Solutions of HamiltonβJacobi Equations a
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Daniel N. Ostrov
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Article
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2002
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Elsevier Science
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English
β 235 KB
We establish a unique stable solution to the Hamilton-Jacobi equation x 2 Γ°Γ1; 1Γ; t 2 Β½0; 1Γ with Lipschitz initial condition, where KΓ°x; tΓ is allowed to be discontinuous in the Γ°x; tΓ plane along a finite number of (possibly intersecting) curves parameterized by t: We assume that for fixed k;