Caloric morphisms for rotation invariant metrics

Nishio, Masaharu; Shimomura, Katsunori

Hiroshima Math. J., Tome 40 (2010) no. 1, p. 315-331 / Harvested from Project Euclid

Résumé

We determine all the caloric morphisms for rotation invariant (spherically symmetric) metrics, in the case where the space dimension is greater than two. We also treat the caloric morphisms on two dimensional spheres and hyperbolae.

Publié le : 2010-11-15
Classification: Caloric morphism, heat equation, Appell transformation, rotation invariant metric, 35K99, 31B99, 35A30

@article{1291818847,
     author = {Nishio, Masaharu and Shimomura, Katsunori},
     title = {Caloric morphisms for rotation invariant metrics},
     journal = {Hiroshima Math. J.},
     volume = {40},
     number = {1},
     year = {2010},
     pages = { 315-331},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1291818847}
}

Nishio, Masaharu; Shimomura, Katsunori. Caloric morphisms for rotation invariant metrics. Hiroshima Math. J., Tome 40 (2010) no. 1, pp.  315-331. http://gdmltest.u-ga.fr/item/1291818847/