A duality result between the minimal surface equation and the maximal surface equation
نویسندگان
چکیده
منابع مشابه
On the Symmetry Structure of the Minimal Surface Equation
An infinite sequence of commuting nonpolynomial contact symmetries of the two-dimensional minimal surface equation is constructed. Local and nonlocal conservation laws for n-dimensional minimal area surface equation are obtained by using the Noether identity. Introduction. In this paper, we analyze the symmetry properties of the Euler equation
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We study the minimal surface equation in Minkowskian geometry in R × R+, which is a well-known quasilinear wave equation. The classical result of Lindblad, [10] establishes global existence of small and smooth solutions (i.e. global regularity), provided the initial data is small, compactly supported and very smooth. In the present paper, we achieve more precise results. We show that, at least ...
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In a 2004 paper, Lindblad demonstrated that the minimal surface equation on R1,1 describing graphical timelike minimal surfaces embedded in R 1,2 enjoy small data global existence for compactly supported initial data, using Christodoulou’s conformal method. Here we give a different, geometric proof of the same fact, which exposes more clearly the inherent null structure of the equations, and wh...
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ژورنال
عنوان ژورنال: Anais da Academia Brasileira de Ciências
سال: 2001
ISSN: 0001-3765
DOI: 10.1590/s0001-37652001000200002