Explore: Inverses Problems (differential Equations)

solutions to the Navier–Stokes equations, named as one of the Millennium Prize Problems in 2000. Partial differential equations are ubiquitous in mathematically

eigenvalues of differential equations. He then asked: given a family of eigenvalues, is it possible to find the form of the equations whose eigenvalues

mathematics and its applications, a Sturm–Liouville problem is a second-order linear ordinary differential equation of the form d d x [ p ( x ) d y d x ] + q (

the equation are partial derivatives. A linear differential equation or a system of linear equations such that the associated homogeneous equations have

Riemann–Hilbert problems, named after Bernhard Riemann and David Hilbert, are a class of problems that arise in the study of differential equations in the complex

partial differential equations and quantum field theory, e.g. in mathematical models that include ultrametric pseudo-differential equations in a non-Archimedean

field equations (EFE; also known as Einstein's equations) relate the geometry of spacetime to the distribution of matter within it. The equations were

inertial coordinate system ... the problem is described by nine second-order differential equations. The problem can also be stated equivalently in the

mathematics, the inverse scattering transform is a method that solves the initial value problem for a nonlinear partial differential equation using mathematical

scatterer. Soliton equations are a class of partial differential equations which can be studied and solved by a method called the inverse scattering transform