29 citations · 100 across the 20 of their papers we have counts for
9 papers · 1 filter
A Kirchhoff equation with infinite conservation laws
Chiara Boiti, Renato Manfrin
We show here that the quasilinear Kirchhoff-Pokhozhaev equation with , admits conservation laws…
A third-order conservation law for the Kirchhoff-Pokhozhaev equation
Chiara Boiti, Renato Manfrin
We prove that the special Kirchhoff equation studied by Pokhozhaev admits a third-order conservation law. We further show that if the energy of the solution is sufficiently small,…
Notes on a paper of Pokhozhaev
Chiara Boiti, Renato Manfrin
We prove a second order identity for the Kirchhoff equation which yields, in particular, a simple and direct proof of Pokhozhaev's second order conservation law when the nonlineari…
Mean-dispersion principles and the Wigner transform
Chiara Boiti, David Jornet, Alessandro Oliaro
Given a function , we consider means and variances associated to and its Fourier transform , and explore their relations with the Wigner transform…
Regularity of partial differential operators in ultradifferentiable spaces and Wigner type transforms
Chiara Boiti, David Jornet, Alessandro Oliaro
We study the behaviour of linear partial differential operators with polynomial coefficients via a Wigner type transform. In particular, we obtain some results of regularity in the…
A simple proof of Kotake-Narasimhan theorem in some classes of ultradifferentiable functions
Chiara Boiti, David Jornet
We give a simple proof of a general theorem of Kotake-Narasimhan for elliptic operators in the setting of ultradifferentiable functions in the sense of Braun, Meise and Taylor. We…
The Overdetermined Cauchy Problem for -ultradifferentiable Functions
Chiara Boiti, Elisabetta Gallucci
In this paper we study the Cauchy problem for overdetermined systems of linear partial differential operators with constant coefficients in some spaces of -ultradifferentiable f…
Semilinear p-evolution equations in Sobolev spaces
Alessia Ascanelli, Chiara Boiti
We prove local in time well-posedness in Sobolev spaces of the Cauchy problem for semi-linear p-evolution equations of the first order with real principal part, but complex valued…
A characterization of the wave front set defined by the iterates of an operator with constant coefficients
Chiara Boiti, David Jornet
We characterize the wave front set with respect to the iterates of a linear partial differential operator with constant coefficients of a classical distribution $u\i…