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We prove the global strong existence of these OU-type processes on G under an integrability assumption on U. The Poincaré inequality for a large class of potentials U is then shown by a perturbation technique.
We use these results to prove the strong existence of the solutions of stochastic differential equations with singular (functional) drifts and also to prove the non-existence of strong solutions of some stochastic differential equations.
It reveals the strong existence of a false "glamorization" of prostitution, particularly in sex tourism.
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Since the 3D Navier-Stokes equations lack appropriate priori estimate and the strong nonlinear property, the existence of strong solution remains open.
Since the Navier-Stokes equations lack an appropriate prior estimate and the strong nonlinear property, the existence of a strong solution remains open.
This substantial difference substantiates the existence of strong coupling between the molecular polarizability and the backbone conformation in the polysilanes.
Martens believed Swift's vocals were not the strongest because the existence of the electric guitar solo was meant to prevent too many high notes.
Thus, it is important to study the existence of strong solution and properties of the strong solution set.
This indicates the existence of strong purifying selection against the transmission of nodal mutations in coding mtDNA sequences and even stronger selective constraint acting upon RNMs.
In Egypt a sense of community is ever-present, and it was the existence of strong social bonds that held the country together.
Mrs. Whitman said the news articles reaffirmed her belief that Mr. Williams was in "very strong denial" about the existence of racial profiling.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com