Inverse parabolic partial differential equation
An equation of the form
where the form is positive definite. The variable plays the role of "inverse" time. The substitution reduces equation (*) to the usual parabolic form. Parabolic equations of "mixed" type occur, for example, is a direct parabolic equation for and an inverse parabolic equation for , with degeneracy of the order for .
|[a1]||L.E. Payne, "Improperly posed problems in partial differential equations" , SIAM (1975)|
Inverse parabolic partial differential equation. A.P. Soldatov (originator), Encyclopedia of Mathematics. URL: http://www.encyclopediaofmath.org/index.php?title=Inverse_parabolic_partial_differential_equation&oldid=19128