caa a22 4500 475740688 CHVBK 20180406123458.0 cr unu---uuuuu 170329e20001101xx s 000 0 eng 10.1023/A:1026668902173 doi (NATIONALLICENCE)springer-10.1023/A:1026668902173 Khametov V. Moscow Institute of Electronics and Mathematics, Russia aut Asymptotics of the Solution to the Cauchy Problem for Linear Parabolic Equations of Second Order with Small Diffusion [Elektronische Daten] [V. Khametov] This paper is devoted to constructing an asymptotics of the solution to the Cauchy problem for a linear parabolic equation of second order with variable coefficients containing a small parameter at the highest derivative. Sufficient conditions for the existence and uniqueness of the "multiplicative” asymptotic expansion of the global solution of the problem are given. Plenum Publishing Corporation, 2000 Cauchy problem for a linear parabolic equation of second order nationallicence asymptotic solution of a Cauchy problem nationallicence inverse Kolmogorov equation nationallicence Sobolev spaces $$W_p^{l,q} \left( {C_{Tr} } \right)$$ nationallicence n -dimensional Wiener process nationallicence Mathematical Notes Kluwer Academic Publishers-Plenum Publishers 68/5-6(2000-11-01), 775-789 0001-4346 68:5-6<775 2000 68 11006 https://doi.org/10.1023/A:1026668902173 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1026668902173 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Khametov V. Moscow Institute of Electronics and Mathematics, Russia aut NATIONALLICENCE 773 0- Mathematical Notes Kluwer Academic Publishers-Plenum Publishers 68/5-6(2000-11-01), 775-789 0001-4346 68:5-6<775 2000 68 11006 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer