1 resultado para Hamilton, Alice, 1869-1970
em Biblioteca Digital da Produção Intelectual da Universidade de São Paulo (BDPI/USP)
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Resumo:
In 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.