Degenerate parabolic equation
A partial differential equation
where the function has the following property: For some even natural number , all roots of the polynomial
have non-positive real parts for all real and, for certain , , , and , for some root , or for certain , and the leading coefficient at vanishes. Here is an independent variable which is often interpreted as time; is an -dimensional vector ; is the unknown function; is a multi-index ; is the vector with components
is a vector with components , is an -dimensional vector , and . See also Degenerate partial differential equation, and the references given there.
Degenerate parabolic equation. A.M. Il'in (originator), Encyclopedia of Mathematics. URL: http://www.encyclopediaofmath.org/index.php?title=Degenerate_parabolic_equation&oldid=18826