Geodesic
Heat polynomial analogs for higher order evolution equations
Electronic Journal of Differential Equations, Tome 2001 (2001).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 35C10, 35K25, 35C05, 35K30
Keywords: heat polynomials, polynomial solutions 
@article{EJDE_2001__2001__a7,
     author = {Hile, G. N. and Stanoyevitch, Alexander},
     title = {Heat polynomial analogs for higher order evolution equations},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2001},
     year = {2001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a7/}
}
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Hile, G. N.; Stanoyevitch, Alexander. Heat polynomial analogs for higher order evolution equations. Electronic Journal of Differential Equations, Tome 2001 (2001). http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a7/