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Semigroups and Weakly Elliptic Operators

ZHENG Quan (Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, China)  
Let iAj (1≤j≤n) be commuting generators of bounded C_0-groups, P(A)=sum form |μ|≤2aμA~μ(A~μ= A_1~μ1…A_n~μn). If P is weakly elliptic and the real part of P is bounded above, we show that P(A) generates a C_0-semigroup.
【Fund】: the National Science Foundation of China;; Fok Ying Tung Education Foundation;; Excellent Young Teachers of China
【CateGory Index】: O177
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