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An -Theory for Time-Periodic Mixed-Order Partial Differential Equations under General Boundary Conditions
Guillaume Neuttiens, Jonas Sauer
We develop an -theory for time-periodic boundary value problems associated with partial differential equations and systems of mixed order. Our approach is based on anisotropic…
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…
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. In…
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…