Existence and properties of the Green function for a class of degenerate parabolic equations

Autores: B. Franchi, J. C. Fernandes
Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 12, Nº 2, 1996, págs. 491-526
Idioma: inglés
DOI: 10.4171/rmi/206
Títulos paralelos:
- Existencia y propiedades de la función de Green para una clase de ecuaciones parabólicas degeneradas.
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Resumen
- It is known that degenerate parabolic equations exhibit somehow different phenomena when we compare them with their elliptic counterparts. Thus, the problem of existence and properties of the Green function for degenerate parabolic boundary value problems is not completely solved, even after the contributions of [GN] and [GW4], in the sense that the existence problem is still open, even if the a priori estimates proved in [GN] will be crucial in our approach (...).