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Abstract We consider the inverse fault friction problem of determining the friction coefficient in the Tresca friction model, which can be formulated as an inverse problem for differential inequalities. We show that the measurements of elastic waves during a rupture uniquely determine the friction coefficient at the rupture surface with explicit stability estimates.
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A Tauberian approach to Weyl’s law for the Kohn Laplacian on spheres
Abstract We compute the leading coefficient in the asymptotic expansion of the eigenvalue counting function for the Kohn Laplacian on the spheres. We express the coefficient as an infinite sum and as an integral.
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- Award ID(s):
- 1950102
- PAR ID:
- 10317524
- Date Published:
- Journal Name:
- Canadian Mathematical Bulletin
- ISSN:
- 0008-4395
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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- Free Publicly Accessible Full Text
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Accepted Manuscript1.0
- Journal Article:
- https://doi.org/10.4153/S0008439521000163
