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- W4301783475 abstract "We characterize all the solutions of the heat equation that have their (spatial) equipotential surfaces which do not vary with the time. Such solutions are either isoparametric or split in space-time. The result gives a final answer to a problem raised by M. S. Klamkin, extended by G. Alessandrini, and that was named the Matzoh Ball Soup Problem by L. Zalcman. Similar results can also be drawn for a class of quasi-linear parabolic partial differential equations with coefficients which are homogeneous functions of the gradient variable. This class contains the (isotropic or anisotropic) evolution p-Laplace and normalized p-Laplace equations." @default.
- W4301783475 created "2022-10-05" @default.
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- W4301783475 date "2015-05-11" @default.
- W4301783475 modified "2023-09-25" @default.
- W4301783475 title "The Matzoh Ball Soup Problem: a complete characterization" @default.
- W4301783475 doi "https://doi.org/10.48550/arxiv.1505.02638" @default.
- W4301783475 hasPublicationYear "2015" @default.
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