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  4. Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics
  5. Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.42 (2010) s.
  6. Kirchhoff Equations in Generalized Gevrey Spaces: Local Existence, Global Existence, Uniqueness
 
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Kirchhoff Equations in Generalized Gevrey Spaces: Local Existence, Global Existence, Uniqueness

Ghisi, Marina
•
Gobbino, Massimo
2010
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ISSN
0049-4704
http://hdl.handle.net/10077/3924
  • Article

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.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics;42 suppl. (2010)
Subjects
  • integro-differential ...

  • degenerate hyperbolic...

  • continuity modulus

  • Kirchhoff equations

  • Gevrey spaces

  • derivative loss

  • local existence

  • uniqueness

  • global existence

Publisher
EUT Edizioni Università di Trieste
Source
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.
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en
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