The authors construct a Mortensen-type observer on the Wasserstein space P2(R^d), establish dynamic programming and viscosity solution properties for the associated HJB equation using two formulations, prove uniqueness via comparison, and introduce a convergent semi-Lagrangian scheme.
Partial Differential Equations48(2023), no
3 Pith papers cite this work. Polarity classification is still indexing.
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High-velocity asymptotics of the scattering operator yield a reconstruction of the X-ray transform of the spatial coefficient, proving uniqueness of both the nonlinearity exponent and the coefficient for mass-supercritical energy-subcritical NLS in d ≥ 3.
Proves that SO(3) lattice Yang-Mills theory fails Wilson's confinement criterion at strong coupling.
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The Mortensen observer on the space of probability measures
The authors construct a Mortensen-type observer on the Wasserstein space P2(R^d), establish dynamic programming and viscosity solution properties for the associated HJB equation using two formulations, prove uniqueness via comparison, and introduce a convergent semi-Lagrangian scheme.
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High-Velocity Inverse Scattering for Nonlinear Schr\"odinger Equations with Spatially Dependent Nonlinearities
High-velocity asymptotics of the scattering operator yield a reconstruction of the X-ray transform of the spatial coefficient, proving uniqueness of both the nonlinearity exponent and the coefficient for mass-supercritical energy-subcritical NLS in d ≥ 3.
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Deconfinement For $\mathrm{SO}(3)$ Lattice Yang-Mills at Strong Coupling
Proves that SO(3) lattice Yang-Mills theory fails Wilson's confinement criterion at strong coupling.