Academic literature on the topic 'Constrained BV functions'

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Journal articles on the topic "Constrained BV functions"

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Bellettini, Giovanni, Maurizio Paolini, Franco Pasquarelli, and Giuseppe Scianna. "Covers, soap films and BV functions." Geometric Flows 3, no. 1 (2018): 57–75. http://dx.doi.org/10.1515/geofl-2018-0005.

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Abstract In this paper we review the double covers method with constrained BV functions for solving the classical Plateau’s problem. Next, we carefully analyze some interesting examples of soap films compatible with covers of degree larger than two: in particular, the case of a soap film only partially wetting a space curve, a soap film spanning a cubical frame but having a large tunnel, a soap film that retracts to its boundary, and various soap films spanning an octahedral frame.
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Amato, Stefano, Giovanni Bellettini, and Maurizio Paolini. "Constrained BV functions on covering spaces for minimal networks and Plateau’s type problems." Advances in Calculus of Variations 10, no. 1 (2017): 25–47. http://dx.doi.org/10.1515/acv-2015-0021.

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AbstractWe link covering spaces with the theory of functions of bounded variation, in order to study minimal networks in the plane and Plateau’s problem without fixing a priori the topology of solutions. We solve the minimization problem in the class of (possibly vector-valued) $\mathrm{BV}$ functions defined on a covering space of the complement of an ${(n-2)}$-dimensional compact embedded Lipschitz manifold S without boundary. This approach has several similarities with Brakke’s “soap films” covering construction. The main novelty of our method stands in the presence of a suitable constraint
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ARCANGELIS, RICCARDO DE, ANTONIO GAUDIELLO, and GABRIELLA PADERNI. "SOME CASES OF HOMOGENIZATION OF LINEARLY COERCIVE GRADIENT CONSTRAINED VARIATIONAL PROBLEMS." Mathematical Models and Methods in Applied Sciences 06, no. 07 (1996): 901–40. http://dx.doi.org/10.1142/s0218202596000377.

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A homogenization problem for integral functionals defined on Lipschitz functions verifying pointwise oscillating constraints on the gradient is studied in the case in which the constraint takes only the values 0 and +∞. Such situation is of interest in some problems in electrostatics and elastic-plastic torsion theory. An integral representation result on BV-spaces for the “homogenized functional”, and convergence results for minimum values and solutions of Dirichlet and Neumann problems, are proved without assuming any geometrical condition on the set of the zeroes of the constraint and under
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Bredies, Kristian, and David Vicente. "A perfect reconstruction property for PDE-constrained total-variation minimization with application in Quantitative Susceptibility Mapping." ESAIM: Control, Optimisation and Calculus of Variations 25 (2019): 83. http://dx.doi.org/10.1051/cocv/2018009.

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We study the recovery of piecewise constant functions of finite bounded variation (BV) from their image under a linear partial differential operator with unknown boundary conditions. It is shown that minimizing the total variation (TV) semi-norm subject to the associated PDE-constraints yields perfect reconstruction up to a global constant under a mild geometric assumption on the jump set of the function to reconstruct. The proof bases on establishing a structural result about the jump set associated with BV-solutions of the homogeneous PDE. Furthermore, we show that the geometric assumption i
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Cattaneo, Alberto S., Pavel Mnev, and Konstantin Wernli. "Quantum Chern–Simons Theories on Cylinders: BV-BFV Partition Functions." Communications in Mathematical Physics, December 5, 2022. http://dx.doi.org/10.1007/s00220-022-04513-8.

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AbstractWe compute partition functions of Chern–Simons type theories for cylindrical spacetimes $$I \times \Sigma $$ I × Σ , with I an interval and $$\dim \Sigma = 4l+2$$ dim Σ = 4 l + 2 , in the BV-BFV formalism (a refinement of the Batalin–Vilkovisky formalism adapted to manifolds with boundary and cutting–gluing). The case $$\dim \Sigma = 0$$ dim Σ = 0 is considered as a toy example. We show that one can identify—for certain choices of residual fields—the “physical part” (restriction to degree zero fields) of the BV-BFV effective action with the Hamilton–Jacobi action computed in the compan
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Cattaneo, Alberto S., Pavel Mnev, and Konstantin Wernli. "Constrained systems, generalized Hamilton-Jacobi actions, and quantization." Journal of Geometric Mechanics, 2022, 0. http://dx.doi.org/10.3934/jgm.2022010.

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<p style='text-indent:20px;'>Mechanical systems (i.e., one-dimensional field theories) with constraints are the focus of this paper. In the classical theory, systems with infinite-dimensional targets are considered as well (this then encompasses also higher-dimensional field theories in the hamiltonian formalism). The properties of the Hamilton–Jacobi (HJ) action are described in details and several examples are explicitly computed (including nonabelian Chern–Simons theory, where the HJ action turns out to be the gauged Wess–Zumino–Witten action). Perturbative quantization, limited in th
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Hafemeyer, D., and F. Mannel. "A path-following inexact Newton method for PDE-constrained optimal control in BV." Computational Optimization and Applications, May 11, 2022. http://dx.doi.org/10.1007/s10589-022-00370-2.

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AbstractWe study a PDE-constrained optimal control problem that involves functions of bounded variation as controls and includes the TV seminorm of the control in the objective. We apply a path-following inexact Newton method to the problems that arise from smoothing the TV seminorm and adding an $$H^1$$ H 1 regularization. We prove in an infinite-dimensional setting that, first, the solutions of these auxiliary problems converge to the solution of the original problem and, second, that an inexact Newton method enjoys fast local convergence when applied to a reformulation of the auxiliary opti
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Tiwari, Ruchi, Gaurav Tiwari, Akanksha Lahiri, Vadivelan Ramachandran, and Awani Rai. "Melittin: A Natural Peptide with Expanded Therapeutic Applications." Natural Products Journal 10 (December 10, 2020). http://dx.doi.org/10.2174/2210315510999201210143035.

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Background: Apis mellifera, European honey bee venom (BV) is a complex combination of chemical compounds comprising proteins, peptides, enzymes, and other small molecules. Melittin (MEL), which is the key component of BV is considered as an alternative for treatment of various infections. MEL is an amphipathic, cell-penetrating, 26-residue, ahelical anti-hepatoma peptide derived from BV. However, owing to its initial conformational strength and poor stability, melittin is constrained in use as a medication. Objective: The study focused on collective data of therapeutic activities of Bee venom
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Davoli, Elisa, Rita Ferreira, and Carolin Kreisbeck. "Homogenization in BV of a model for layered composites in finite crystal plasticity." Advances in Calculus of Variations, October 1, 2019. http://dx.doi.org/10.1515/acv-2019-0011.

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Abstract In this work, we study the effective behavior of a two-dimensional variational model within finite crystal plasticity for high-contrast bilayered composites. Precisely, we consider materials arranged into periodically alternating thin horizontal strips of an elastically rigid component and a softer one with one active slip system. The energies arising from these modeling assumptions are of integral form, featuring linear growth and non-convex differential constraints. We approach this non-standard homogenization problem via Gamma-convergence. A crucial first step in the asymptotic ana
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Lee, Elliot M., Sujatha Srinivasan, Samuel O. Purvine, et al. "Optimizing metaproteomics database construction: lessons from a study of the vaginal microbiome." mSystems, June 23, 2023. http://dx.doi.org/10.1128/msystems.00678-22.

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ABSTRACT Metaproteomics, a method for untargeted, high-throughput identification of proteins in complex samples, provides functional information about microbial communities and can tie functions to specific taxa. Metaproteomics often generates less data than other omics techniques, but analytical workflows can be improved to increase usable data in metaproteomic outputs. Identification of peptides in the metaproteomic analysis is performed by comparing mass spectra of sample peptides to a reference database of protein sequences. Although these protein databases are an integral part of the meta
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Dissertations / Theses on the topic "Constrained BV functions"

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Amato, Stefano. "Some results on anisotropic mean curvature and other phase transition models." Doctoral thesis, SISSA, 2015. http://hdl.handle.net/20.500.11767/4859.

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The present thesis is divided into three parts. In the first part, we analyze a suitable regularization — which we call nonlinear multidomain model — of the motion of a hypersurface under smooth anisotropic mean curvature flow. The second part of the thesis deals with crystalline mean curvature of facets of a solid set of R^3 . Finally, in the third part we study a phase-transition model for Plateau’s type problems based on the theory of coverings and of BV functions.
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