Mixed problem for a nonlinear ultraparabolic equation that generalizes the diffusion equation with inertia
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.
English version (Springer): Ukrainian Mathematical Journal 58 (2006), no. 9, pp 1347-1368.
Citation Example: Lavrenyuk S. P., Protsakh N. P. Mixed problem for a nonlinear ultraparabolic equation that generalizes the diffusion equation with inertia // Ukr. Mat. Zh. - 2006. - 58, № 9. - pp. 1192–1210.
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