Proves L2 and Lp well-posedness for a strongly-coupled nonlocal analogue of the Navier-Lamé system via Fourier analysis and semigroup methods.
Functional analysis, Sobolev spaces and partial differenti al equations
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Stability of semigroup smoothing under relatively bounded perturbations yields spectral and eventually positive perturbation theorems for elliptic PDEs.
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The Solvability of a Strongly-Coupled Nonlocal System of Equations
Proves L2 and Lp well-posedness for a strongly-coupled nonlocal analogue of the Navier-Lamé system via Fourier analysis and semigroup methods.
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Smoothing of operator semigroups under relatively bounded perturbations
Stability of semigroup smoothing under relatively bounded perturbations yields spectral and eventually positive perturbation theorems for elliptic PDEs.