Characterization of solutions of a class of ultraparabolic equations of the Kolmogorov type

Author:

Ivasyshen Stepan Dmytrovych,Layuk Vasyl’ Vasyl’ovych

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Statistics and Probability

Reference22 articles.

1. G. Citti, F. Pascucci, and S. Polidoro, “On the regularity of solutions to a nonlinear ultraparabolic equations arising in mathematical finance,” Differ. and Integral Equ., 14, No. 6, 701–738 (2001).

2. S. D. Eidelman, S. D. Ivasyshen, and A. N. Kochubei, Analytic methods in the theory of differential and pseudo-differential equations of parabolic type, Operator Theory: Advance and Applications, 152 (2004), 390 p.

3. P. Foschi and A. Pascucci, “Kolmogorov equations arising in finance: direct and inverse problems,” Lecture Notes of Seminario Interdisciplinare di Matematica. Universit`a degli Studi della Basilicata, VI, 145–156 (2007).

4. M. Di Francesco and A. Pascucci, “On a class of degenerate parabolic equations of Kolmogorov type,” Appl. Math. Res. Express, No. 3, 77–116 (2005).

5. M. Di Francesco and S. Polidoro, “Schauder estimates, Harnack inequality and Gaussian lower bound for Kolmogorov type operators in non-divergence form,” Adv. Differ. Equ., 11, 1261–1320 (2006).

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