We show a simple argument to prove resolvent estimates for Lam\'e 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 $L^2$-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 / Barceló, J. A.; Fanelli, Luca; Ruiz, A.; Vilela, M. C.; Visciglia, N.. - In: APPLIED MATHEMATICS LETTERS. - ISSN 0893-9659. - 49:(2015), pp. 33-41. [10.1016/j.aml.2015.04.013]
Resolvent and Strichartz estimates for elastic wave equations
FANELLI, Luca;
2015
Abstract
We show a simple argument to prove resolvent estimates for Lam\'e 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 $L^2$-spaces. By standard perturbation arguments, we can include small critical $0$-order potentials in the main results.| File | Dimensione | Formato | |
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