Please use this identifier to cite or link to this item:
http://elar.urfu.ru/handle/10995/92221
Title: | On Approximation of Multivalued Solution for Hamilton—Jacobi equation |
Authors: | Kolpakova, E. A. |
Issue Date: | 2018 |
Publisher: | Elsevier B.V. |
Citation: | Kolpakova E. A. On Approximation of Multivalued Solution for Hamilton—Jacobi equation / E. A. Kolpakova. — DOI 10.1016/j.ifacol.2018.11.447 // IFAC-PapersOnLine. — 2018. — Vol. 32. — Iss. 51. — P. 805-809. |
Abstract: | The paper deals with the Cauchy problem for Hamilton—Jacobi equation with discontinuous w.r.t. state variable Hamiltonian. In this case we use the notion of M-solution proposed by Subbotin. We consider the sequence of auxiliary Cauchy problems for Hamilton— Jacobi equations with Lipschitz continuous w.r.t. phase variable Hamiltonians. We show that the sequence of distances between of graphs of solutions for auxiliary Cauchy problems and graph of M-solution tends to zero in metrics L1. © 2018 |
Keywords: | CONVERGENCE IN L1 HAMILTON—JACOBI EQUATION MINIMAX/VISCOSITY SOLUTION MULTIVALUED SOLUTION VIABILITY SET CONVERGENCE IN L^1 JACOBI EQUATION MINIMAX MULTI-VALUED SOLUTION VIABILITY SET HAMILTONIANS |
URI: | http://elar.urfu.ru/handle/10995/92221 |
Access: | info:eu-repo/semantics/openAccess |
SCOPUS ID: | 85058222084 |
WOS ID: | 000453278300151 |
PURE ID: | 8415674 |
ISSN: | 2405-8963 |
DOI: | 10.1016/j.ifacol.2018.11.447 |
Appears in Collections: | Научные публикации ученых УрФУ, проиндексированные в SCOPUS и WoS CC |
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