In this paper the authors provide an account of some of their results concerning the J. D'Alembert equation especially in a suitable category of noncommutative manifolds, proving that the geometric theory of PDE's introduced by A. Pr\'astaro is an handable framework where problems in the theory of partial differential equations find their natural solutions. In fact, the J. d'Alembert equation is one such applications.
A geometric approach to a noncommutative generalized d'Alembert equation / Prastaro, Agostino; Themistocles M., Rassias. - In: COMPTES RENDUS DE L'ACADÉMIE DES SCIENCES. SÉRIE 1, MATHÉMATIQUE. - ISSN 0764-4442. - STAMPA. - 330:7(2000), pp. 545-550. [10.1016/s0764-4442(00)00238-x]
A geometric approach to a noncommutative generalized d'Alembert equation
PRASTARO, Agostino;
2000
Abstract
In this paper the authors provide an account of some of their results concerning the J. D'Alembert equation especially in a suitable category of noncommutative manifolds, proving that the geometric theory of PDE's introduced by A. Pr\'astaro is an handable framework where problems in the theory of partial differential equations find their natural solutions. In fact, the J. d'Alembert equation is one such applications.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
