When are the spatial level surfaces of solutions of diffusion equations invariant with respect to the time variable?

Shigeru Sakaguchi

Type: Article

Publication Date: 1999-12-01

Citations: 10

DOI: https://doi.org/10.1007/bf02791135

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Locations

Journal d Analyse Mathématique - View

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+	Matzoh ball soup in spaces of constant curvature	2008	Genqian Liu
+ PDF Chat	Stationary isothermic surfaces for unbounded domains	2007	Rolando Magnanini Shigeru Sakaguchi
+	Two-phase heat conductors with a stationary isothermic surface	2016	Shigeru Sakaguchi
+ PDF Chat	Matzoh Ball Soup: Heat Conductors with a Stationary Isothermic Surface	2002	Rolando Magnanini Shigeru Sakaguchi
+ PDF Chat	Characterization of ellipses as uniformly dense sets with respect to a family of convex bodies	2013	Rolando Magnanini Michele Marini
+ PDF Chat	The Matzoh Ball Soup Problem: A complete characterization	2015	Rolando Magnanini Michele Marini
+	Behavior of Solutions Near the Flat Hats of Stationary Solutions for a Degenerate Parabolic Equation	2000	Shingo Takeuchi
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Works Cited by This (25)

Action	Title	Year	Authors
+	The zero set of a solution of a parabolic equation.	1988	Sigurd Angenent
+ PDF Chat	Critical Point Theory and Submanifold Geometry	1988	Richard S. Palais Chuu-liang Terng
+ PDF Chat	Book Review: Linear and quasilinear elliptic equations	1969	Neil S. Trudinger
+	An introduction to partial differential equations	2010	Michael Renardy Robert C. Rogers
+	Partial Differential Equations of Parabolic Type	1964	Avner Friedman
+	Solutions of the One-Dimensional Porous Medium Equation are Determined by Their Free Boundary	1990	Sigurd Angenent
+	A positivity property of solutions of nonlinear diffusion equations	1984	Michiel Bertsch L. A. Peletier
+	Stabilization of solutions of the filtration equation with absorption and non-linear flux	1995	F. Andreu José M. Mazón J. Toledo
+	The Number of Peaks of Positive Solutions of Semilinear Parabolic Equations	1985	Wei‐Ming Ni Paul Sacks
+	Characterizing spheres by functional relations on solutions of elliptic and parabolic equations	1991	Giovanni Alessandrink