Cauchy problem for an essentially infinite-dimensional parabolic equation with variable coefficients

  • Yu. V. Bogdanskii

Abstract

The Cauchy problem for the equation $\cfrac{\partial u}{\partial t} = \mathcal{L}_x u = j(x) (u_x'')$ with positive essentially infinite-dimensional functionals $j(x)$ is studied in a certain Banach space of functions on an infinite-dimensional separable real Hilbert space.
Published
25.06.1994
How to Cite
BogdanskiiY. V. “Cauchy Problem for an Essentially Infinite-Dimensional Parabolic Equation With Variable Coefficients”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 46, no. 6, June 1994, pp. 663–670, https://umj.imath.kiev.ua/index.php/umj/article/view/5693.
Section
Research articles