Boundary-value problems for a nonlinear parabolic equation with Lévy Laplacian resolved with respect to the derivative

  • I. I. Kovtun Нац. ун-т биоресурсов и природопользования Украины, Киев
  • M. N. Feller УкрНИИ «Ресурс», Киев

Abstract

We present the solutions of boundary-value and initial boundary-value problems for a nonlinear parabolic equation with Lévy Laplacian $∆_L$ resolved with respect to the derivative $$\frac{∂U(t,x)}{∂t}=f(U(t,x),Δ_LU(t,x))$$ in fundamental domains of a Hilbert space.
Published
25.10.2010
How to Cite
Kovtun, I. I., and M. N. Feller. “Boundary-Value Problems for a Nonlinear Parabolic Equation With Lévy Laplacian Resolved With Respect to the Derivative”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, no. 10, Oct. 2010, pp. 1400–1407, https://umj.imath.kiev.ua/index.php/umj/article/view/2964.
Section
Research articles