Mixed problem for a nonlinear ultraparabolic equation that generalizes the diffusion equation with inertia

  • S. P. Lavrenyuk
  • N. P. Protsakh

Abstract

We consider a mixed problem for a nonlinear ultraparabolic equation that is a nonlinear generalization of the diffusion equation with inertia and the special cases of which are the Fokker-Planck equation and the Kolmogorov equation. Conditions for the existence and uniqueness of a solution of this problem are established.
Published
25.09.2006
How to Cite
Lavrenyuk, S. P., and N. P. Protsakh. “Mixed Problem for a Nonlinear Ultraparabolic Equation That Generalizes the Diffusion Equation With Inertia”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 58, no. 9, Sept. 2006, pp. 1192–1210, https://umj.imath.kiev.ua/index.php/umj/article/view/3522.
Section
Research articles