EnglishWe provide a new approach to obtain solutions of evolution equations with nonlinear and nonlocal in time boundary conditions. Both, compact and noncompact semigroups are considered. As an example we show a “principle of huge growth”: every control of a reaction-diffusion system necessarily leads to a profile preserving nonlinear huge growth for an appropriate initial value condition. As another example we apply the approach with noncompact semigroups also to a class of age-population models, based on a hyperbolic conservation law.
Evolution Problems with Nonlinear Nonlocal Boundary Conditions / Irene, Benedetti; Taddei, Valentina; Martin, Vath. - In: JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS. - ISSN 1040-7294. - STAMPA. - 25(2013), pp. 477-503.
| Data di pubblicazione: | 2013 |
| Titolo: | Evolution Problems with Nonlinear Nonlocal Boundary Conditions |
| Autore/i: | Irene, Benedetti; Taddei, Valentina; Martin, Vath |
| Autore/i UNIMORE: | |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/s10884-013-9303-8 |
| Rivista: | |
| Volume: | 25 |
| Pagina iniziale: | 477 |
| Pagina finale: | 503 |
| Codice identificativo ISI: | WOS:000319009800009 |
| Codice identificativo Scopus: | 2-s2.0-84877832394 |
| Citazione: | Evolution Problems with Nonlinear Nonlocal Boundary Conditions / Irene, Benedetti; Taddei, Valentina; Martin, Vath. - In: JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS. - ISSN 1040-7294. - STAMPA. - 25(2013), pp. 477-503. |
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http://hdl.handle.net/11380/946699
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