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/

Zendy Open

Presents the pdf analysis as premium feature

PDF Analysis

Insights

Presents the summarisation as premium feature

Summarisation

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

We study the solutions of the stochastic heat equation with multiplicativespace-time white noise. We prove a comparison theorem between the solutions ofstochastic heat equations with the same noise coefficient which is H\"{o}ldercontinuous of index $\gamma>3/4$, and drift coefficients that are Lipschitzcontinuous. Later we use the comparison theorem to get sufficient conditionsfor the pathwise uniqueness for solutions of the stochastic heat equation, whenboth the white noise and the drift coefficients are H\"{o}lder continuous.

Pathwise Uniqueness for the Stochastic Heat Equation with H\"older Continuous Drift and Noise Coefficients