Flow equations on spaces of rough paths
Given an Itô vector fieldM, there is a unique solutionξt(h) to the differential equationdξt(h)dt=M(ξt(h)),ξ0(h)=hfor any continuous and piece-wisely smooth pathh. We show that for anyt∈R, the maph→ξt(h) is continuous in thep-variation topology for anyp≥1, so that it uniquely extends to a solution fl...
| Hlavní autoři: | , |
|---|---|
| Médium: | Journal article |
| Jazyk: | English |
| Vydáno: |
1997
|