We show resolvent estimates for Lame operator 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.
Resolvent and Strichartz estimates for elastic wave equations
VISCIGLIA, NICOLA
2015-01-01
Abstract
We show resolvent estimates for Lame operator 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.File in questo prodotto:
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