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Rendiconti dell‘ Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.42 (2010) s. >
Please use this identifier to cite or link to this item:
http://hdl.handle.net/10077/3924
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| Title: | Kirchhoff Equations in Generalized Gevrey Spaces: Local Existence, Global Existence, Uniqueness |
| Authors: | Ghisi, Marina
Gobbino, Massimo |
| Keywords: | integro-differential hyperbolic equation
degenerate hyperbolic equation
continuity modulus
Kirchhoff equations
Gevrey spaces
derivative loss
local existence
uniqueness
global existence |
| Issue Date: | 2010 |
| Publisher: | EUT Edizioni Università di Trieste |
| Citation: | Marina Ghisi, Massimo Gobbino, "Kirchhoff Equations in Generalized Gevrey Spaces: Local Existence, Global Existence, Uniqueness”, in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 42 suppl. (2010), pp. 89-110. |
| Series/Report no.: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics;42 suppl. (2010) |
| Abstract: | In this note we present some recent results for Kirchhoff equations in generalized Gevrey spaces. We show that these spaces are the natural framework where classical results can be unified and extended. In particular we focus on existence and uniqueness results for initial data whose regularity depends on the continuity modulus of the nonlinear term, both in the strictly hyperbolic case, and in the degenerate hyperbolic case. |
| URI: | http://hdl.handle.net/10077/3924 |
| ISSN: | 0049-4704 |
| MS Classification 2000: | 35L70
35L80
35L90 |
| Appears in Collections: | Rendiconti dell‘ Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.42 (2010) s.
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