Remarks on generators of analytic semigroups |
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Authors: | M. G. Crandall A. Pazy L. Tartar |
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Affiliation: | (1) University of Wisconsin, Madison, USA;(2) The Hebrew University of Jerusalem, Jerusalem, Israel;(3) Université de Paris-Sud, Orsay, France |
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Abstract: | This paper contains two new characterizations of generators of analytic semigroups of linear operators in a Banach space. These characterizations do not require use of complex numbers. One is used to give a new proof that strongly elliptic second order partial differential operators generate analytic semigroups inL p , 1<p<∞, while the sufficient condition in the other characterization is meaningful in the case of nonlinear operators. Sponsored by the United States Army under Contract No. DAAG29-75-C-0024 and the National Science Foundation under Grant No. MCS78-01245. |
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