M. Ghisi

activity

20082010

most citedDerivative loss for Kirchhoff equations with non-Lipschitz nonlinear term

7 citations · 10 across the 8 of their papers we have counts for

collaborators

Showing 2008 · math.APShow all

3 papers · 2 filters

math.AP2008★ 1 cited

Spectral gap global solutions for degenerate Kirchhoff equations

Marina Ghisi, Massimo Gobbino

We consider the second order Cauchy problem $u^{''} + m (∣ A^{1/2} u ∣^{2}) A u = 0, u (0) = u_{0}, u^{'} (0) = u_{1},$ where $m : [0, + \infty) \to [0, + \infty)$ is a continuous function, and $A$ is a self-ad…

math.AP2008

A uniqueness result for Kirchhoff equations with non-Lipschitz nonlinear term

Marina Ghisi, Massimo Gobbino

We consider the second order Cauchy problem $$u''+\m{u}Au=0, u(0)=u_{0}, u'(0)=u_{1},$$ where $m : [0, + \infty) \to [0, + \infty)$ is a continuous function, and $A$ is a self-adjoint nonn…

math.AP2008★ 7 cited

Derivative loss for Kirchhoff equations with non-Lipschitz nonlinear term

Marina Ghisi, Massimo Gobbino

In this paper we consider the Cauchy boundary value problem for the abstract Kirchhoff equation with a continuous nonlinearity m : [0,+\infty) --> [0,+\infty). It is well known tha…