Exact(8)
By contrast, partial differential equations (PDEs) describe systems that change with respect to more than one variable, for example, time and position.
What is more, in subsequent work he used the ideas he developed for the KPZ equation to build a general theory, the theory of regularity structures, that can be applied to a broad class of stochastic PDEs.
However, nonlinear PDEs are among the most difficult mathematical objects to understand.
Prior to Hairer's work, researchers had made a good deal of progress in understanding linear stochastic PDEs, but there was a fundamental block to addressing nonlinear cases.
Hairer's work has caused a great deal of excitement because it develops a general theory that can be applied to a large class of nonlinear stochastic PDEs.
Hairer's general theory addresses other, higher-dimensional stochastic PDEs that are not well defined.
Similar(26)
See also PDE-5 inhibitor.
PDE-5 breaks down cGMP, and so the PDE-5 inhibitors, by blocking the action of the enzyme, maintain higher levels of cGMP and preserve a satisfactory erection.
Also, PDE-5 inhibitors are not effective against impotence caused by mental disorders such as severe depression or by physical conditions such as nerve damage.
PDE-5 inhibitor, in full phosphodiesterase-5 inhibitor, category of drugs that relieve erectile dysfunction (impotence) in men.
PDE-5 inhibitors are prescribed as oral drugs to be taken approximately one hour before sexual intercourse.
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