We prove that any 2-dimensional solution of the eikonal equation has locally Lipschitz gradient backward difference psi except at a locally finite number of vortex-points. A related regularizing effect is also obtained for general solutions of the Burgers' equation
A Regularizing Property of the 2D-Eikonal Equation
De Lellis, C.;
2015-01-01
Abstract
We prove that any 2-dimensional solution of the eikonal equation has locally Lipschitz gradient backward difference psi except at a locally finite number of vortex-points. A related regularizing effect is also obtained for general solutions of the Burgers' equationFile in questo prodotto:
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