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March/April 2015 Sharp extensions for convoluted solutions of wave equations
Pedro J. Miana, Verónica Poblete
Differential Integral Equations 28(3/4): 309-332 (March/April 2015).

Abstract

In this paper, we give sharp extensions of convoluted solutions of wave equations in abstract Banach spaces. The main technique is to use the algebraic structure, for convolution products $\ast$ and $\ast_c$, of these solutions which are defined by a version of the Duhamel's formula. We define algebra homomorphisms, for the convolution product $\ast_c$, from a certain set of test-functions and apply our results to concrete examples of abstract wave equations.

Citation

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Pedro J. Miana. Verónica Poblete. "Sharp extensions for convoluted solutions of wave equations." Differential Integral Equations 28 (3/4) 309 - 332, March/April 2015.

Information

Published: March/April 2015
First available in Project Euclid: 4 February 2015

zbMATH: 1363.47131
MathSciNet: MR3306565

Subjects:
Primary: 44A10, 44A35, 47D06, 47D62

Rights: Copyright © 2015 Khayyam Publishing, Inc.

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Vol.28 • No. 3/4 • March/April 2015
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