Here we announce some firt results on the J. D'Alembert equation $({{\partial^2}\over{\partial x\partial y}}\log f)=0$. More precisely, by using a geometric framework we prove that the set of smooth functions of two variables $f(x,y)$, solutions of the J. D'Alembert equation, is larger than the set of functions of the form $f(x,y)=h(x).g(y)$.
On the geometric approach to an equation of J.D'Alembert / Prastaro, Agostino; Rassias, T. H. M.. - STAMPA. - (1994), pp. 316-322.
On the geometric approach to an equation of J.D'Alembert.
PRASTARO, Agostino;
1994
Abstract
Here we announce some firt results on the J. D'Alembert equation $({{\partial^2}\over{\partial x\partial y}}\log f)=0$. More precisely, by using a geometric framework we prove that the set of smooth functions of two variables $f(x,y)$, solutions of the J. D'Alembert equation, is larger than the set of functions of the form $f(x,y)=h(x).g(y)$.File allegati a questo prodotto
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