The phrase "applications to the partial" is not correct and lacks clarity in written English.
It may be intended to refer to applications related to a partial aspect of a subject, but it is incomplete without additional context.
Example: "The applications to the partial results of the study were not fully explored in the report."
Alternatives: "applications regarding the partial" or "applications for the partial".
Three types of catalyst support (foams, honeycomb monoliths with square channels and spheres with approximately equal values of specific geometric surface av) were examined and compared by simulation with a 1D, dynamic heterogeneous mathematical model for application to the autothermal partial oxidation of methane.
We give applications to the existence of fixed points in partial metric spaces.
Finally, we give some applications to the boundary value problem of a partial differential equation for boundedness and uniqueness.
We shall discuss improvements to the Hörmander theorem, (L^2) extension theorems, invariant metric estimates, and applications to the (bar{partial } -Neumann problem on domains that are not necessarily strictly pseudoconvex (though they are still somewhat restricted, depending on what one is proving).
A decade later, Browder was awarded the National Medal of Science by President Bill Clinton, for "his pioneering work in nonlinear functional analysis and its applications to partial differential equations, and for leadership in the scientific community".
A general eigenvalue theory for maximal monotone operators has been developed in various ways with applications to partial differential equations; see [5 7, 10 12].
In [22], Matthews extended the Banach contraction mapping theorem to the partial metric context for applications in program verification.
In the application to partial differential equations, such as a class of parabolic equations, the semigroup corresponding to the differential equations is an analytic semigroup.
Concerns about the statistical power and biases related to the application of the partial Mantel test and its derived forms (e.g. MRM) have been raised (Legendre and Fortin 2010; Guillot and Rousset 2013).
One important use for BSDEs is their application to semilinear partial differential equations.
