We prove existence and uniqueness of classical solutions of a one-dimensionalfree boundary problem for the heat equation with a jump conditions for the flux. We show that the solution of this problem can be obtained as a limit of a reaction-diusion problem when the source term converges to a Dirac measure.
Convergence of a nonlinear reaction diffusion problem to a free boundary problem / R. Gianni; R. Ricci. - In: ADVANCES IN MATHEMATICAL SCIENCES AND APPLICATIONS. - ISSN 1343-4373. - STAMPA. - 19:(2009), pp. 429-448.
Convergence of a nonlinear reaction diffusion problem to a free boundary problem
GIANNI, ROBERTO;RICCI, RICCARDO
2009
Abstract
We prove existence and uniqueness of classical solutions of a one-dimensionalfree boundary problem for the heat equation with a jump conditions for the flux. We show that the solution of this problem can be obtained as a limit of a reaction-diusion problem when the source term converges to a Dirac measure.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Gianni_Ricci_AMSA.pdf
Accesso chiuso
Tipologia:
Versione finale referata (Postprint, Accepted manuscript)
Licenza:
Tutti i diritti riservati
Dimensione
202.54 kB
Formato
Adobe PDF
|
202.54 kB | Adobe PDF | Richiedi una copia |
I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
