Elsevier

Applied Mathematics Letters

Volume 49, November 2015, Pages 33-41
Applied Mathematics Letters

Resolvent and Strichartz estimates for elastic wave equations

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Abstract

We show a simple argument to prove resolvent estimates for Lamé operators of elasticity, with constant coefficients, and Strichartz estimates for the associated elastic wave equation. The argument is based on the Helmholtz decomposition for vector fields and some elliptic regularity result in weighted L2-spaces. By standard perturbation arguments, we can include small critical 0-order potentials in the main results.

Keywords

Strichartz estimates
Elastic waves
Helmholtz equation
Lamé operator

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