We establish certain oscillation estimates for weak solutions to nonlinear,
anomalous phase transitions modeled on the nonlocal two-phase Stefan problem.
The problem is singular in time, is scaling deficient and influenced by far-off
effects. We study the the problem in a geometry adapted to the solution and
obtain oscillation estimates in intrinsically scaled cylinders. Furthermore,
via certain uniform estimates, we construct a continuous weak solution to the
corresponding initial boundary value problem with a quantitative modulus of
continuity.
Este artículo explora los viajes en el tiempo y sus implicaciones.
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