Geometric conditions for regularity of viscosity solution to the simplest Hamilton-Jacobi equation
| dc.contributor.author | Goncharov, Vladimir | |
| dc.contributor.author | Pereira, Fátima | |
| dc.contributor.editor | Hömberg, D. | |
| dc.contributor.editor | Tröltzsch, F. | |
| dc.date.accessioned | 2014-01-16T10:29:42Z | |
| dc.date.available | 2014-01-16T10:29:42Z | |
| dc.date.issued | 2012 | |
| dc.description.abstract | Continuing research <cite>GP1, GP2</cite> on the well-posedness of the time-minimum problem with a constant convex dynamics (in a Hilbert space), we adapt one of the regularity conditions obtained there to a slightly more general problem, where nonaffine additive term appears. We prove existence and uniqueness of a minimizer in this problem as well as continuous differentiability of the value function (it can be seen as the viscosity solution to a Hamilton-Jacobi equation) near the boundary of the domain | por |
| dc.identifier.authoremail | goncha@uevora.pt | |
| dc.identifier.authoremail | fmfp@uevora.pt | |
| dc.identifier.citation | In D. Hömberg, F. Tröltzsch (eds) System Modeling and Optimization, Proc. of the 25 IFIP TC7 Conf., CSMO 2011, Berlin, Germany, September 2011, 245-254 | por |
| dc.identifier.scientificarea | 334 | por |
| dc.identifier.uri | http://hdl.handle.net/10174/9667 | |
| dc.language.iso | eng | por |
| dc.peerreviewed | yes | por |
| dc.publisher | Springer | por |
| dc.rights | restrictedAccess | por |
| dc.subject | time-minimum problem | por |
| dc.subject | viscosity solution | por |
| dc.subject | eikonal equation | por |
| dc.subject | duality mapping | por |
| dc.subject | proximal normals | por |
| dc.subject | proximal regularity | por |
| dc.subject | Hölder continuity | por |
| dc.title | Geometric conditions for regularity of viscosity solution to the simplest Hamilton-Jacobi equation | por |
| dc.type | article | por |