A Cauchy Problem fo Analytic Functionals.
A uniqueness result for the continuity equation in two dimensions
We characterize the autonomous, divergence-free vector fields on the plane such that the Cauchy problem for the continuity equation admits a unique bounded solution (in the weak sense) for every bounded initial datum; the characterization is given in terms of a property of Sard type for the potential associated to . As a corollary we obtain uniqueness under the assumption that the curl of is a measure. This result can be extended to certain non-autonomous vector fields with bounded divergence....
Anti-self-dual lagrangians : variational resolutions of non-self-adjoint equations and dissipative evolutions
Bilinear spatial control of the velocity term in a Kirchhoff plate equation.
Biot-Savart-Laplace dynamical systems.
Boundary-value problems for a class of first order partial differential equations in Sobolev spaces and applications to the Euler flow
Dunkl hyperbolic equations.
Équations de transport à coefficient dont le gradient est donné par une intégrale singulière
Nous rappelons tout d’abord l’approche maintenant classique de renormalisation pour établir l’unicité des solutions faibles des équations de transport linéaires, en mentionnant les résultats récents qui s’y rattachent. Ensuite, nous montrons comment l’approche alternative introduite par Crippa et DeLellis estimant directement le flot lagrangien permet d’obtenir des résultats nouveaux. Nous établissons l’existence et l’unicité du flot associé à une équation de transport dont le coefficient a un gradient...
Extrapolation Applied to the Method of Characteristics for a first Order System of Two Partial Differential Equations. Part One : The Initial Value Problem.
Interior estimates in the theory of partial differential equations and their application to initial value problems.
Le problème de Cauchy pour -application
Linear Pfaff systems with the lower characteristic vectors' set of positive Lebesgue measure.
Monotone iterative technique for partial dynamic equations of first order on time scales.
On a functional differential equation arising in the theory of the distribution of wealth.
On the positivity of an invariant measure on open non-empty sets
On the uniqueness of initial-value problems for partial differential equations of the first order
On two-dimensional hamiltonian transport equations with Llocp coefficients
Power and exponential-power series solutions of evolution equations
Problème de Cauchy ramifié à caractéristiques tangentes
Propagation estimates for N-body Stark hamiltonians