English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In the present paper, we give some examples of stochastic differentialequations which have delicateness in the Markov and strong Markov properties,the uniqueness locally in time and globally in time, and initial conditions.Moreover, we show that such stochastic differential equations appear in thelimits of stochastic differential equations which have the existence andpathwise uniqueness of solutions. These examples are constructed in motivationto singular stochastic partial differential equations. We also give someexamples of shifted equations whose sum of the solutions depends on the choicesof the decomposition of the initial condition of the original equation.

Remarks on Stochastic Systems I: Markov properties, local and global uniqueness, and limits of stochastic equations