3 papers
math.AP2025
The Time-Periodic Cahn-Hilliard-Gurtin System on the Half Space as a Mixed-Order System with General Boundary Conditions
Guillaume Neuttiens, Jonas Sauer
A well-posedness and maximal regularity result for the time-periodic Cahn-Hilliard-Gurtin system in the half space is proved. For this purpose, we introduce a novel class of comple…
math.AP2025
Limited-Range Multilinear Off-Diagonal Extrapolation and Weighted Transference Principle
Jonas Sauer
Multilinear extrapolation results are established in a limited-range, multilinear, and off-diagonal setting for mixed-norm Lebesgue spaces over -finite measure spaces. Int…
math.AP2024
Schauder Estimates for Germs by Scaling
Jonas Sauer, Scott A. Smith
In this expository note, we show that the blow-up arguments of L. Simon adapt well to the corresponding Schauder theory of germs used in the study of singular SPDEs. We illustrate…