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New Monotonicity Formulae for Semi-linear Elliptic and Parabolic Systems

Authors:

Institution:

1. Department of Mathematical Sciences,Tsinghua University,Beijing 100084,China
2. Department of Mathematics,Tianjin University,Tianjin 300072,China

Abstract:

The authors establish a general monotonicity formula for the following elliptic system

$ \Delta u_i + f_i \left( {x,u_1 , \cdots ,u_m } \right) = 0 in \Omega $ \Delta u_i + f_i \left( {x,u_1 , \cdots ,u_m } \right) = 0 in \Omega

Keywords:	Elliptic systems Parabolic system Monotonicity formula Ginzburg-Landau model
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