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6 papers · 2 filters
On a question of Landis and Oleinik
Tu Nguyen
We answer in the affirmative a question posed by Landis and Oleinik on unique continuation of variable coefficients parabolic equations.
Boundary structure and size in terms of interior and exterior harmonic measures in higher dimensions
Carlos E. Kenig, David Preiss, Tatiana Toro
In this work we introduce the use of powerful tools from geometric measure theory (GMT) to study problems related to the size and structure of sets of mutual absolute continuity fo…
Subcritical Lp bounds on spectral clusters for Lipschitz metrics
Herbert Koch, Hart F. Smith, Daniel Tataru
We establish asymptotic bounds on the L^p norms of spectrally localized functions in the case of two-dimensional Dirichlet forms with coefficients of Lipschitz regularity. These bo…
Explicit gradient estimates for minimal Lagrangian surfaces of dimension two
Micah Warren, Yu Yuan
We derive explicit, uniform, a priori interior Hessian and gradient estimates for special Lagrangian equations of all phases in dimension two.
A Liouville type theorem for special Lagrangian Equations with constraints
Micah Warren, Yu Yuan
We derive a Liouville type result for special Lagrangian equations with certain "convexity" and restricted linear growth assumptions on the solutions.
Electromagnetic wormholes via handlebody constructions
Allan Greenleaf, Yaroslav Kurylev, Matti Lassas +1
Cloaking devices are prescriptions of electrostatic, optical or electromagnetic parameter fields (conductivity , index of refraction , or electric permittivity a…