Electronic Journal of Differential Equations,
Vol. 2001(2001), No. 28, pp. 1-19.

Title: Heat polynomial analogs for higher order evolution equations
        
Authors: G. N. Hile   (Univ. of Hawaii, Honolulu, USA)
         A. Stanoyevitch (Univ. of Guam, Mangilao,USA)
          
Abstract: 
 Polynomial solutions analogous to the heat polynomials are demonstrated for
 higher order linear homogeneous evolution equations with coefficients
 depending on the time variable. Further parallels with the heat polynomials
 are established when the equation is parabolic with constant coefficients and
 only highest order terms.
  
Submitted February 20, 2001. Published May 2, 2001.
Math Subject Classifications: 35C10, 35K25, 35C05, 35K30.
Key Words: heat polynomials; polynomial solutions; evolution equations