抄録 This article discusses the Stokes equation in various classes of domains Ω CR n within
the L p-setting for 1≤ p≤∞ from the point of view of evolution equations. Classical as well …

We study integral operators related to a regularized version of the classical Poincaré path
integral and the adjoint class generalizing Bogovskiĭ's integral operator, acting on differential …

I guess all mathematicians have had their defining moments, some events that led them to
devote much of their lives and energy to mathematics. Myself, I vividly recall the spring and …

This memoir is mainly devoted to the statement and the proof of new maximal regularity
results involving Besov spaces for the evolutionary Stokes system in bounded or exterior …

We are concerned with the barotropic compressible Navier–Stokes system in a bounded
domain of R d (with d≥ 2). In a critical regularity setting, we establish local well-posedness …

Above, P is the Leray projection of L2 (Ω, R3) onto H:={u∈ L2 (Ω, R3): div u= 0, ν· u= 0},
where ν is the outward unit normal to∂ Ω, and A is the Stokes operator, ie the Friedrichs …

We study the fully inhomogeneous Dirichlet problem for the Laplacian in bounded convex
domains in Rn, when the size/smoothness of both the data and the solution are measured …

Finite element exterior calculus (FEEC) has been developed over the past decade as a
framework for constructing and analyzing stable and accurate numerical methods for partial …

We prove the well-posedness of the mixed problem for the Stokes system in a class of
Lipschitz domains in ${\mathbb {R}}^ n $, $ n\geq 3$. The strategy is to reduce the original …

We consider inverse boundary value problems for polyharmonic operators and in particular,
the problem of recovering the coefficients of terms up to order one. The main interest of our …