Notes on infinite-dimensional nonlinear parabolic equations

  • M. N. Feller УкрНИИ «Ресурс», Киев

Abstract

We present a method for the solution of the Cauchy problem for three broad classes of nonlinear parabolic equations $$\frac{{\partial U\left( {t,x} \right)}}{{\partial t}} = f\left( {\Delta _L U\left( {t,x} \right)} \right), \frac{{\partial U\left( {t,x} \right)}}{{\partial t}} f\left( {t,\Delta _L U\left( {t,x} \right)} \right),$$ and $$\frac{{\partial U\left( {t,x} \right)}}{{\partial t}} = f\left( {U\left( {t,x} \right), \Delta _L U\left( {t,x} \right)} \right)$$ with the infinite-dimensional Laplacian ΔL.
Published
25.05.2000
How to Cite
FellerM. N. “Notes on Infinite-Dimensional Nonlinear Parabolic Equations”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 52, no. 5, May 2000, pp. 690-01, https://umj.imath.kiev.ua/index.php/umj/article/view/4462.
Section
Research articles