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6 papers · 2 filters
Schauder estimates for degenerate Lévy Ornstein-Ulhenbeck operators
Lorenzo Marino
We establish global Schauder estimates for integro-partial differential equations (IPDE) driven by a possibly degenerate Lévy Ornstein-Uhlenbeck operator, both in the elliptic and…
Reference configurations vs. optimal rotations: a derivation of linear elasticity from finite elasticity for all traction forces
Cy Maor, Maria Giovanna Mora
We rigorously derive linear elasticity as a low energy limit of pure traction nonlinear elasticity. Unlike previous results, we do not impose any restrictive assumptions on the for…
Local well-posedness for Frémond's model of complete damage in elastic solids
Goro Akagi, Giulio Schimperna
We consider a model for the evolution of damage in elastic materials originally proposed by Michel Frémond. For the corresponding PDE system we prove existence and uniqueness of a…
Vanishing diffusion in a dynamic boundary condition for the Cahn-Hilliard equation
Pierluigi Colli, Takeshi Fukao
The initial boundary value problem for a Cahn-Hilliard system subject to a dynamic boundary condition of Allen-Cahn type is treated. The vanishing of the surface diffusion on the d…
Dislocations in a layered elastic medium with applications to fault detection
Andrea Aspri, Elena Beretta, Anna L. Mazzucato
We consider a model for elastic dislocations in geophysics. We model a portion of the Earth's crust as a bounded, inhomogeneous elastic body with a buried fault surface, along whic…
Global wave parametrices on globally hyperbolic spacetimes
Matteo Capoferri, Claudio Dappiaggi, Nicolò Drago
In a recent work the first named author, Levitin and Vassiliev have constructed the wave propagator on a closed Riemannian manifold as a single oscillatory integral global both…