Results 81 to 90 of about 38,188 (251)
Duality for Evolutionary Equations With Applications to Null Controllability
Mathematical Methods in the Applied Sciences, Volume 49, Issue 5, Page 4144-4166, 30 March 2026.ABSTRACT We study evolutionary equations in exponentially weighted L2$$ {\mathrm{L}}^2 $$‐spaces as introduced by Picard in 2009. First, for a given evolutionary equation, we explicitly describe the ν$$ \nu $$‐adjoint system, which turns out to describe a system backwards in time. We prove well‐posedness for the ν$$ \nu $$‐adjoint system. We then apply
Andreas Buchinger, Christian Seifert
wiley +1 more source
Unboundedness of adjacency matrices of locally finite graphs
, 2010 Given a locally finite simple graph so that its degree is not bounded, every self-adjoint realization of the adjacency matrix is unbounded from above. In this note we give an optimal condition to ensure it is also unbounded from below.
B. Mohar +5 more
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Mesh and Model Adaptivity for Multiscale Elastoplastic Models With Prandtl‐Reuss Type Material Laws
International Journal for Numerical Methods in Engineering, Volume 127, Issue 6, 30 March 2026.ABSTRACT Homogenization methods simulate heterogeneous materials like composites effectively, but high computational demands can offset their benefits. This work balances accuracy and efficiency by assessing model and discretization errors of the finite element method (FEM) through an adaptive numerical scheme.
Arnold Tchomgue Simeu +2 more
wiley +1 more source
Operators on anti-dual pairs: self-adjoint extensions and the Strong Parrott Theorem [PDF]
, 2020 Zsigmond Tarcsay, Tamás Titkos
openalex +2 more sources
Formally self-adjoint quasi-differential operators and boundary-value problems
Electronic Journal of Differential Equations, 2013 We develop the machinery of boundary triplets for one-dimensional operators generated by formally self-adjoint quasi-differential expression of arbitrary order on a finite interval.
Andrii Goriunov +2 more
doaj
, 2007 We perform a 1-parameter family of self-adjoint extensions characterized by the parameter $\omega_0$. This allows us to get generic boundary conditions for the quantum oscillator on $N$ dimensional complex projective space($\mathbb{C}P^N$) and on its non-
Abramowitz M +9 more
core +1 more source
International Journal of Robust and Nonlinear Control, Volume 36, Issue 5, Page 3047-3067, 25 March 2026.ABSTRACT This paper presents a robust control synthesis and analysis framework for nonlinear systems with uncertain initial conditions. First, a deep learning‐based lifting approach is proposed to approximate nonlinear dynamical systems with linear parameter‐varying (LPV) state‐space models in higher‐dimensional spaces while simultaneously ...
Sourav Sinha, Mazen Farhood
wiley +1 more source
Multi-interval dissipative Sturm–Liouville boundary-value problems with distributional coefficients
Доповiдi Нацiональної академiї наук УкраїниThe paper investigates spectral properties of multi-interval Sturm–Liouville operators with distributional coefficients. Constructive descriptions of all self-adjoint and maximal dissipative/accumulative extensions in terms of boundary conditions are ...
A.S. Goriunov
doaj +1 more source
A Distributional Approach for the One-Dimensional Hydrogen Atom
Frontiers in Physics, 2019 We consider the one-dimensional Hydrogen atom, with the Coulomb interaction V(x)=γ|x| (γ < 0), and use Schwartz's theory of distributions to address the non-integrable singularity at the origin.
Marcos Calçada +4 more
doaj +1 more source
Geometry of quantum dynamics in infinite dimension
, 2017 We develop a geometric approach to quantum mechanics based on the concept of the Tulczyjew triple. Our approach is genuinely infinite-dimensional and including a Lagrangian formalism in which self-adjoint (Schroedinger) operators are obtained as ...
Grabowski, Janusz +3 more
core +1 more source