Some analytical properties of dissolving operators related with the Cauchy problem for a class of nonautonomous partial differential equations. Part 1 [PDF]
Opuscula Mathematica, 2006 The analytical properties of dissolving operators related with the Cauchy problem for a class of nonautonomous partial differential equations in Hilbert spaces are studied using theory of bi-linear forms in respectively rigged Hilbert spaces triples ...
Marzena Pytel-Kudela +1 more
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Duality for Evolutionary Equations With Applications to Null Controllability
Mathematical Methods in the Applied Sciences, EarlyView.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
ON A NEW FIXED POINT THEOREM IN HILBERT ALGEBRAS SPACES AND APPLICATION Vol. 5(2) July 2017, No. 5, pp. 40-46 F. CHOUIA AND T. MOUSSAOUI [PDF]
, 2017 F Chouia +25 more
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Free Surface Waves in Electrohydrodynamics With a Prescribed Vorticity Distribution
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Traditionally, the study of free surface flows assumed irrotationality to simplify matters, and the results seemed to have great success, notably with the Korteweg‐de Vries(KdV) equation. In the past decade, there have been attempts to remove this seemingly strong condition and replace it with a global constant vorticity equivalent to a linear
M. J. Hunt, Denys Dutykh
wiley +1 more source
Hilbert series of bipartite field theories
Journal of High Energy PhysicsWe study the algebraic structure of the mesonic moduli spaces of bipartite field theories by computing the Hilbert series. Bipartite field theories form a large family of 4d N $$ \mathcal{N} $$ = 1 supersymmetric gauge theories that are defined by ...
Minsung Kho, Rak-Kyeong Seong
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Homotopy invariance of the Conley index and local Morse homology in Hilbert spaces [PDF]
, 2016 Marek Izydorek +4 more
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Asymptotics for the Spectrum of the Laplacian in Thin Bars with Varying Cross Sections
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We consider spectral problems for the Laplace operator in 3D rod structures with a small cross section of diameter O(ε)$$ O\left(\varepsilon \right) $$, ε$$ \varepsilon $$ being a positive parameter. The boundary conditions are Dirichlet (Neumann, respectively) on the bases of this structure, and Neumann on the lateral boundary.
Pablo Benavent‐Ocejo +2 more
wiley +1 more source
Coil Sketching for Fast and Efficient 4D Lung MRI Reconstruction
Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose To develop and evaluate a memory‐efficient and accelerated reconstruction framework for respiratory‐resolved 4D lung MRI using coil sketching and Toeplitz approximation, enabling high‐quality motion‐compensated low‐rank (MoCo‐LR) reconstructions on clinically accessible GPU hardware.
Joseph W. Plummer +7 more
wiley +1 more source
An Implicit Iteration Method for Variational Inequalities over the Set of Common Fixed Points for a Finite Family of Nonexpansive Mappings in Hilbert Spaces [PDF]
, 2011 Nguyễn Bường, NguyenThi Quynh Anh
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