On the well-posedness of the Cauchy problem for Fokker--Planck--Kolmogorov equations with potential terms on arbitrary domains

Oxana A. Manita; Stanislav V. Shaposhnikov

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arXiv · 1307.3662

On the well-posedness of the Cauchy problem for Fokker--Planck--Kolmogorov equations with potential terms on arbitrary domains

Oxana A. Manita·Stanislav V. Shaposhnikov

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Abstract

We study the Cauchy problem for Fokker--Planck--Kolmogorov equations with unbounded and degenerate coefficients. Sufficient conditions for the existence and uniqueness of solutions are indicated.

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Oxana A. Manita, Stanislav V. Shaposhnikov. 2013-07-13. On the well-posedness of the Cauchy problem for Fokker--Planck--Kolmogorov equations with potential terms on arbitrary domains. https://arxiv.org/abs/1307.3662

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