Noun
a differential equation involving a functions of more than one variable
Source: WordNetA partial differential equation (PDE) for the function is an equation of the form : If f is a linear function of u and its derivatives, then the PDE is called linear. Source: Internet
Even if the solution of a partial differential equation exists and is unique, it may nevertheless have undesirable properties. Source: Internet
Roughly speaking, the semigroup approach is to regard a time-dependent partial differential equation as an ordinary differential equation on a function space. Source: Internet
In 1764, Euler examined the partial differential equation for the vibration of a circular drum and found one of the Bessel function solutions. Source: Internet
The 17-year-old Fermi chose to derive and solve the partial differential equation for a vibrating rod, applying Fourier analysis in the solution. Source: Internet
The Cauchy–Kowalevski theorem states that the Cauchy problem for any partial differential equation whose coefficients are analytic in the unknown function and its derivatives, has a locally unique analytic solution. Source: Internet