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arXiv · 0912.3690

Kirchhoff equations in generalized Gevrey spaces: local existence, global existence, uniqueness

Marina Ghisi·Massimo Gobbino
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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.

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Marina Ghisi, Massimo Gobbino. 2009-12-18. Kirchhoff equations in generalized Gevrey spaces: local existence, global existence, uniqueness. https://arxiv.org/abs/0912.3690

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