Lars Diening, Mikyoung Lee, Jihoon Ok
Published 2021-08-02Version 1
We derive weighted Sobolev-Poincar\'e type inequalities in function spaces concerned with parabolic partial differential equations. We consider general weights depending on both space and time variables belonging to a Muckenhoupt class, so-called the parabolic $A_p$-class, where only the parabolic cubes are involved in the definition.
Structure-informed operator learning for parabolic Partial Differential Equations
Extensions of divergence-free fields in $\mathrm{L}^{1}$-based function spaces
Topics in the theory of positive solutions of second-order elliptic and parabolic partial differential equations
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