| Description |
1 online resource (v, 103 pages) : illustrations |
| Series |
Memoirs of the American Mathematical Society, 0065-9266 ; volume 249, number 1181 |
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Memoirs of the American Mathematical Society ; no. 1181.
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| Contents |
Introduction -- Notation and preliminaries -- Known existence and regularity results -- Classes of solutions -- Estimates in Gaussian spaces -- The generalized frequency function -- Existence and homogeneity of blowups -- Homogeneous global solutions -- Optimal regularity of solutions -- Classification of free boundary points -- Free boundary: Regular set -- Free boundary: Singular set -- Weiss and Monneau type monotonicity formulas -- Structure of the singular set -- Appendix A. Estimates in Gaussian spaces: Proofs -- Parabolic Whitney's extension theorem |
| Summary |
We give a comprehensive treatment of the parabolic Signorini problem based on a generalization of Almgren's monotonicity of the frequency. This includes the proof of the optimal regularity of solutions, classification of free boundary points, the regularity of the regular set and the structure of the singular set |
| Notes |
"Volume 249, Number 1181 (second of 8 numbers), September 2017." |
| Bibliography |
Includes bibliographical references (pages 101-103) |
| Notes |
Print version record |
| Subject |
Elasticity -- Mathematical models
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Boundary value problems.
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Mathematical physics.
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Boundary value problems
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Elasticity -- Mathematical models
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Mathematical physics
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| Form |
Electronic book
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| Author |
Garofalo, Nicola, author.
|
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Petrosyan, Arshak, 1975- author.
|
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To, Tung, 1980- author.
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American Mathematical Society, publisher
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| LC no. |
2017040916 |
| ISBN |
9781470441296 |
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1470441292 |
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1470425475 |
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9781470425470 |
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