The Cauchy problem for the Hamilton-Jacobi equation with state constraints is considered. A justification for a construction of a generalized solution with given structure is provided. The construction is based on the method of characteristics and on solutions of problems related to calculus of variations.
Translated title of the contributionOn the continuous extension of a generalized solution of the Hamilton-Jacobi equation by characteristics that form a central field of extremals
Original languageRussian
Pages (from-to)220-235
Number of pages16
JournalТруды института математики и механики УрО РАН
Volume21
Issue number2
Publication statusPublished - 2015

    GRNTI

  • 27.31.00

    Level of Research Output

  • VAK List

ID: 1798857