Parabolic weighted Sobolev-Poincare type inequalities

초록

We derive weighted Sobolev-Poincare 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. (C) 2021 Elsevier Ltd. All rights reserved.

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