23 citations · 93 across the 16 of their papers we have counts for
16 papers
Local bounds for nonlinear higher-order vector fields for the p-Laplace equation
Felice Iandoli, Giuseppe Spadaro, Domenico Vuono
We study higher regularity for weak solutions of the -Laplace equation in a domain for sufficiently close to 2. For , assuming…
Local behaviour of the second order derivatives of solutions to -Laplace equations
Felice Iandoli, Domenico Vuono
We consider the equation in where is the -Laplace operator. We provide -type estimates for the second derivatives of solutions when $…
On the quasilinear Schrödinger equations on tori
Felice Iandoli
We improve the result by Feola and Iandoli [J. de Math. Pures et App., 157:243-281, 2022], showing that quasilinear Hamiltonian Schrödinger type equations are well posed on $H^s(\m…
Local well posedness for a system of quasilinear pdes modelling suspension bridges
Roberto Feola, Filippo Giuliani, Felice Iandoli +1
In this paper we provide a local well posedness result for a quasilinear beam-wave system of equations on a one-dimensional spatial domain under periodic and Dirichlet boundary con…
Controllability of quasi-linear Hamiltonian Schrödinger equations on tori
Felice Iandoli, Jingrui Niu
We prove exact controllability for quasi-linear Hamiltonian Schrödinger equations on tori of dimension greater or equal then two. The result holds true for sufficiently small initi…
Strong ill-posedness in of the 2d Boussinesq equations in vorticity form and application to the 3d axisymmetric Euler Equations
Roberta Bianchini, Lars Eric Hientzsch, Felice Iandoli
We prove the strong ill-posedness in the sense of Hadamard of the two-dimensional Boussinesq equations in without boundary, extending to the case of s…
Dispersion estimates for the wave equation outside of a cylinder]{Dispersive estimates for the wave equation outside a cylinder in
Felice Iandoli, Oana Ivanovici
We consider the wave equation with Dirichlet boundary conditions in the exterior of a cylinder in R 3 and we construct a global in time parametrix to derive sharp dispersion estima…
On the Cauchy problem for quasi-linear Hamiltonian KdV-type equations
Felice Iandoli
We prove local in time well-posedness for a class of quasilinear Hamiltonian KdV-type equations with periodic boundary conditions, more precisely we show existence, uniqueness and…
Long-time stability of the quantum hydrodynamic system on irrational tori
Roberto Feola, Felice Iandoli, Federico Murgante
We consider the quantum hydrodynamic system on a -dimensional irrational torus with . We discuss the behaviour, over a "non trivial" time interval, of the -Sobolev n…
Long-time existence for semi-linear beam equations on irrational tori
Joackim Bernier, Roberto Feola, Benoît Grébert +1
We consider the semi-linear beam equation on the d dimensional irrational torus with smooth nonlinearity of order n -- 1 with n 3 and d 2. If 1 is the size of…
Long time solutions for quasi-linear Hamiltonian perturbations of Schrödinger and Klein-Gordon equations on tori
Roberto Feola, Benoît Grébert, Felice Iandoli
We consider quasi-linear, Hamiltonian perturbations of the cubic Schrödinger and of the cubic (derivative) Klein-Gordon equations on the dimensional torus. If …
A non-linear Egorov theorem and Poincaré-Birkhoff normal forms for quasi-linear pdes on the circle
Roberto Feola, Felice Iandoli
In this paper we consider an abstract class of quasi-linear para-differential equations on the circle. For each equation in the class we prove the existence of a change of coordina…
Local well-posedness for the quasi-linear Hamiltonian Schrödinger equation on tori
Roberto Feola, Felice Iandoli
We prove a local in time well-posedness result for quasi-linear Hamiltonian Schrödinger equations on for any . For any initial condition in the Sobolev spac…
Long time existence for fully nonlinear NLS with small Cauchy data on the circle
Roberto Feola, Felice Iandoli
In this paper we prove long time existence for a large class of fully nonlinear, reversible and parity preserving Schrödinger equations on the one dimensional torus. We show that f…
Local well-posedness for quasi-linear NLS with large Cauchy data on the circle
Roberto Feola, Felice Iandoli
We prove local in time well-posedness for a large class of quasilinear Hamiltonian, or parity preserving, Schrödinger equations on the circle. After a paralinearization of the equa…
Dispersive estimates for Schrödinger operators with point interactions in
Felice Iandoli, Raffaele Scandone
The study of dispersive properties of Schrödinger operators with point interactions is a fundamental tool for understanding the behavior of many body quantum systems interacting wi…