On the problem of determining the parameter of a parabolic equation
AbstractWe 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.
How to Cite
Ashyralyev, A. “On the Problem of Determining the Parameter of a Parabolic Equation”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, no. 9, Sept. 2010, pp. 1200–1210, https://umj.imath.kiev.ua/index.php/umj/article/view/2948.