2017
Том 69
№ 9

All Issues

On the problem of determining the parameter of a parabolic equation

Ashyralyev A.

Full text (.pdf)


Abstract

We study the boundary-value problem of determining the parameter p of a parabolic equation $$v′(t)+Av(t)=f(t)+p,\;0⩽t⩽1,v(0)=φ,\;v(1)=ψ,$$ with strongly positive operator $A$ in an arbitrary Banach space $E$. The exact estimates are established for the solution of this problem in Hölder norms. In applications, the exact estimates are obtained for the solutions of the boundary-value problems for parabolic equations.

English version (Springer): Ukrainian Mathematical Journal 62 (2010), no. 9, pp 1397-1408.

Citation Example: Ashyralyev A. On the problem of determining the parameter of a parabolic equation // Ukr. Mat. Zh. - 2010. - 62, № 9. - pp. 1200–1210.

Full text