Necessary optimality conditions for local minimizers of stochastic optimal control problems with state constraints
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DOI: 10.1090/tran/7669
Abstract: The main purpose of this work is to establish some first and second order necessary optimality conditions for local minimizers of stochastic optimal control problems with state constraints. The control may affect both the drift… read more here.
Keywords: minimizers stochastic; control; local minimizers; optimality conditions ... See more keywords
Local minimizers for the NLS equation with localized nonlinearity on noncompact metric graphs
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DOI: 10.1515/math-2024-0129
Abstract: Abstract We investigate the existence of local minimizers for the nonlinear Schrödinger (NLS) equation with localized nonlinearity on noncompact metric graphs. In the absence of ground states, we prove that normalized local minimizers of the… read more here.
Keywords: equation localized; minimizers nls; nls equation; local minimizers ... See more keywords
Energy local minimizers for the nonlinear Schrödinger equation on product spaces
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DOI: 10.3934/dcds.2025179
Abstract: We investigate the existence of local minimizers with prescribed $L^2$-norm for the energy functional associated to the mass-supercritical nonlinear Schr\"{o}dinger equation on the product space $\mathbb{R}^N \times M^k$, where $(M^k,g)$ is a compact Riemannian manifold,… read more here.
Keywords: schr dinger; energy; equation product; dinger equation ... See more keywords