On the Hamilton-Jacobi equation in the framework of generalized functions

dc.creatorFERNANDEZ, Roseli
dc.date.accessioned2012-10-20T04:50:08Z
dc.date.accessioned2018-07-04T15:46:36Z
dc.date.available2012-10-20T04:50:08Z
dc.date.available2018-07-04T15:46:36Z
dc.date.created2012-10-20T04:50:08Z
dc.date.issued2011
dc.identifierJOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.382, n.1, p.487-502, 2011
dc.identifier0022-247X
dc.identifierhttp://producao.usp.br/handle/BDPI/30580
dc.identifier10.1016/j.jmaa.2011.04.069
dc.identifierhttp://dx.doi.org/10.1016/j.jmaa.2011.04.069
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1627219
dc.description.abstractIn this work we study, in the framework of Colombeau`s generalized functions, the Hamilton-Jacobi equation with a given initial condition. We have obtained theorems on existence of solutions and in some cases uniqueness. Our technique is adapted from the classical method of characteristics with a wide use of generalized functions. We were led also to obtain some general results on invertibility and also on ordinary differential equations of such generalized functions. (C) 2011 Elsevier Inc. All rights reserved.
dc.languageeng
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE
dc.relationJournal of Mathematical Analysis and Applications
dc.rightsCopyright ACADEMIC PRESS INC ELSEVIER SCIENCE
dc.rightsrestrictedAccess
dc.subjectGeneralized functions
dc.subjectMethod of characteristics
dc.subjectHamilton-Jacobi equation
dc.titleOn the Hamilton-Jacobi equation in the framework of generalized functions
dc.typeArtículos de revistas


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