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Abstract We investigate regularity of the distance function from submanifolds with boundary of R n . By exploiting these regularity results, we show a Poincare inequality with matrix weights that… Click to show full abstract
Abstract We investigate regularity of the distance function from submanifolds with boundary of R n . By exploiting these regularity results, we show a Poincare inequality with matrix weights that degenerate along a submanifold with boundary. Furthermore, we prove uniqueness of solutions to elliptic and parabolic equations which degenerate on submanifolds with boundary.
Keywords:
elliptic parabolic;
distance submanifolds;
boundary applications;
applications poincar;
submanifolds boundary
Journal Title: Journal of Differential Equations
Year Published: 2019
Link to full text (if available)
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Journal Title: Journal of Differential Equations
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!