TY - JOUR AB - We show uniqueness in law for a general class of stochastic differential equations in R d , d ≥ 2 , with possibly degenerate and/or fully discontinuous locally bounded coefficients among all weak solutions that spend zero time at the points of degeneracy of the dispersion matrix. Points of degeneracy have a d-dimensional Lebesgue–Borel measure zero. Weak existence is obtained for a more general, but not necessarily locally bounded drift coefficient. DA - 2020 DO - 10.3390/sym12040570 KW - Computer Science (miscellaneous) KW - Physics and Astronomy (miscellaneous) KW - Chemistry (miscellaneous) KW - General Mathematics LA - eng IS - 4 PY - 2020 SN - 2073-8994 T2 - Symmetry TI - Well-Posedness for a Class of Degenerate Itô Stochastic Differential Equations with Fully Discontinuous Coefficients UR - https://nbn-resolving.org/urn:nbn:de:0070-pub-29434520 Y2 - 2024-11-22T04:36:23 ER -