Solutions of the One-dimensional Porous Medium Equation Are Determined by Their Free Boundary
نویسنده
چکیده
holds for all (x, t)sQ. The (t(t) are called the free boundaries of the respective solutions. It is known that they are C smooth functions (Caffarelli and Friedmann first showed that they are C \ and using this Aronson and Vazquez, Kreis and Hollig, and the author proved independently and by different means that the boundaries are indeed C°°). Under special circumstances the free boundary may even be real analytic, but in general this need not be true. Our main result is the following.
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تاریخ انتشار 1990