On the Hamilton-Jacobi equation for a harmonic oscillator

Document identifier: oai:DiVA.org:ltu-7630
Access full text here:10.1007/s00025-010-0017-5
Keyword: Natural Sciences, Mathematics, Mathematical Analysis, Naturvetenskap, Matematik, Matematisk analys
Publication year: 2010

The topic of this note is the classical Hamilton-Jacobi equation {Mathematical expression}In complete generality, a description of the superdifferential {Mathematical expression} of the viscosity solution of the initial-value problem for this equation is furnished in terms of a convex hull construction and rotations. For background, the basic existence and uniqueness properties of the viscosity solution S are recalled.


Thomas Strömberg

Luleå tekniska universitet; Matematiska vetenskaper
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