While the choice of a norm in the space where an evolution problem is posed is in-effective as far as the smoothness properties of the solution with respect to the space variables are concerned, the asymptotic behavior of this solution when t -> +infinity is greatly effected by a change of the norm in the space. We illustrate this consideration by studying existence, uniqueness and asymptotic behavior for the solution of a simple but very significant evolution problem.
Stability of solutions of evolution equations / Alberto, Cialdea; Lanzara, Flavia. - In: ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI. - ISSN 1120-6330. - STAMPA. - 24:4(2013), pp. 451-469. [10.4171/rlm/661]
Stability of solutions of evolution equations
LANZARA, Flavia
2013
Abstract
While the choice of a norm in the space where an evolution problem is posed is in-effective as far as the smoothness properties of the solution with respect to the space variables are concerned, the asymptotic behavior of this solution when t -> +infinity is greatly effected by a change of the norm in the space. We illustrate this consideration by studying existence, uniqueness and asymptotic behavior for the solution of a simple but very significant evolution problem.| File | Dimensione | Formato | |
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