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Showing 2023 · math.APShow all
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math.AP2023
Maximal regularity as a tool for partial differential equations
Sylvie Monniaux
In the last decades, a lot of progress has been made on the subject of maximal regularity. The property of maximal regularity is an a priori estimate and reads as follows: Fo…
math.AP2023
Weak localization in radiative transfer of acoustic waves in a randomly-fluctuating slab
Adel Messaoudi, Régis Cottereau, Christophe Gomez
This paper concerns the derivation of radiative transfer equations for acoustic waves propagating in a randomly fluctuating slab (between two parallel planes) in the weak-scatterin…
math.AP2023
Hodge decompositions and maximal regularities for Hodge Laplacians in homogeneous function spaces on the half-space
Anatole Gaudin
In this article, the Hodge decomposition for any degree of differential forms is investigated on the whole space and the half-space on different sca…