Half-Space Solutions with 7/2 Frequency in the Thin Obstacle Problem View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2022-09-20

AUTHORS

Ovidiu Savin, Hui Yu

ABSTRACT

For the thin obstacle problem in R3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {R}}^3$$\end{document}, we show that half-space solutions form an isolated family in the space of 72\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\frac{7}{2}$$\end{document}-homogeneous solutions. For a general solution with one blow-up profile in this family, we establish the rate of convergence to this profile. As a consequence, we obtain the regularity of the free boundary near such contact points. More... »

PAGES

1-78

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00205-022-01817-w

DOI

http://dx.doi.org/10.1007/s00205-022-01817-w

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1151155898


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