Trace theorems for holomorphic semigroups and the second order Cauchy problem-Reference-Cited by-同舟云学术

Trace theorems for holomorphic semigroups and the second order Cauchy problem

Published:1996 Issue:5 Volume:124 Page:1445-1458
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

El-Mennaoui O.,Keyantuo V.

Abstract

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 L p ( R N ) L^p(\mathbb R^N) .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1996-124-05/S0002-9939-96-03133-4/S0002-9939-96-03133-4.pdf

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