We consider the Cauchy problem for degenerate Kolmogorov equations in non-divergence form, as well as in its divergence form. We prove that a very mild growth condition of the solution yields the uniqueness.
Bounds on short cylinders and uniqueness in Cauchy problem for degenerate Kolmogorov equations / C., Cinti; Polidoro, Sergio. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - STAMPA. - 359:1(2009), pp. 135-145. [10.1016/j.jmaa.2009.05.029]
Bounds on short cylinders and uniqueness in Cauchy problem for degenerate Kolmogorov equations
POLIDORO, Sergio
2009
Abstract
We consider the Cauchy problem for degenerate Kolmogorov equations in non-divergence form, as well as in its divergence form. We prove that a very mild growth condition of the solution yields the uniqueness.
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