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Trace Theorems for Holomorphic Semigroups and the Second Order Cauchy Problem
O. El-Mennaoui and V. Keyantuo
Proceedings of the American Mathematical Society
Vol. 124, No. 5 (May, 1996), pp. 1445-1458
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2161453
Page Count: 14
You can always find the topics here!Topics: Semigroups, Cosine function, Mathematical theorems, Cauchy problem, Laplace transformation, Boundary conditions, Boundary value problems, Interpolation, Linear transformations
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We use the theory of boundary values (also called traces) of holomorphic semigroups as developed by Boyadzhiev-deLaubenfels (1993) and El-Mennaoui (1992) to study the second order Cauchy problem for certain generators of holomorphic semigroups. Our results contain in particular the result of Hieber (Math. Ann. 291 (1991), 1-16) for the Laplace operator on Lp(RN).
Proceedings of the American Mathematical Society © 1996 American Mathematical Society