Yu. E. Anikonov, N. B. Ayupova, “The Hopf–Cole transformation and multidimensional representations of solutions to evolution equations”, Sib. Zh. Ind. Mat., 2014, Volume 17, Number 4,Pages <nobr>31

This article is cited in 5 papers

The Hopf–Cole transformation and multidimensional representations of solutions to evolution equations

Yu. E. Anikonov^a, N. B. Ayupova^ba

^a Sobolev Institute of Mathematics SB RAS, 4 Koptyug av., 630090 Novosibirsk
^b Novosibirsk State University, 2 Pirogova st., 630090 Novosibirsk

Abstract: We consider new identities and representations of solutions to second-order differential equations connected with the Hopf–Cole transformation.

Keywords: inverse problem, evolution equation, Hopf–Cole transformation.

UDC: 517.9

Received: 06.05.2014