Nonsmooth extension of the Brezzi-Rappaz-Raviart approximation theorem via metric regularity, applied to quasi-optimal finite-element error estimates for viscous Hamilton-Jacobi equations and second-order mean field games.
Interpolation theory , volume 16 of Appunti, Sc
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Proves global existence and uniqueness of strong solutions for a Zakharov-type system in general 3D domains under small initial data via energy estimates and Cauchy sequences, plus Sobolev norm growth bounds.
Stability of semigroup smoothing under relatively bounded perturbations yields spectral and eventually positive perturbation theorems for elliptic PDEs.
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A nonsmooth extension of the Brezzi-Rappaz-Raviart approximation theorem via metric regularity techniques and applications to nonlinear PDEs
Nonsmooth extension of the Brezzi-Rappaz-Raviart approximation theorem via metric regularity, applied to quasi-optimal finite-element error estimates for viscous Hamilton-Jacobi equations and second-order mean field games.
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Global existence for a Zakharov type system in a domain
Proves global existence and uniqueness of strong solutions for a Zakharov-type system in general 3D domains under small initial data via energy estimates and Cauchy sequences, plus Sobolev norm growth bounds.
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Stability of semigroup smoothing under relatively bounded perturbations yields spectral and eventually positive perturbation theorems for elliptic PDEs.