Results 31 to 40 of about 4,144 (169)
Unique Continuation for Sublinear Elliptic Equations Based on Carleman Estimates
, 2018 In this article we deal with different forms of the unique continuation property for second order elliptic equations with nonlinear potentials of sublinear growth.
Rüland, Angkana
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Addressing ecological challenges from a quantum computing perspective
Methods in Ecology and Evolution, Volume 17, Issue 3, Page 632-649, March 2026.Abstract With increased access to data and the advent of computers, the use of statistical tools and numerical simulations is becoming commonplace for ecologists. These approaches help improve our understanding of ecological phenomena and their underlying mechanisms in increasingly complex environments.
Maxime Clenet +2 more
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Carleman estimates for some elliptic systems [PDF]
Journal of Physics: Conference Series, 2008 A Carleman estimate for a certain first order elliptic system is proved. The proof is elementary and does not rely on pseudo-differential calculus. This estimate is used to prove Carleman estimates for the isotropic Lame system as well as for the isotropic Maxwell system with C1 coefficients.
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Surrogate Quantum Circuit Design for the Lattice Boltzmann Collision Operator
International Journal for Numerical Methods in Engineering, Volume 127, Issue 4, 28 February 2026.ABSTRACT This study introduces a framework for learning a low‐depth surrogate quantum circuit (SQC) that approximates the nonlinear, dissipative, and hence non‐unitary Bhatnagar–Gross–Krook (BGK) collision operator in the lattice Boltzmann method (LBM) for the D2Q9$$ {D}_2{Q}_9 $$ lattice.
Monica Lăcătuş, Matthias Möller
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A CARLEMAN'S INEQUALITY FOR A SYSTEM OF COUPLED PARABOLIC EQUATIONS
Pesquimat, 2014 In this work we consider a linearized system of parabolic equations associated to a semilinear system of heat equations. Following the ideas of O. Imanuvilov, M. Yamamoto and L.
Víctor Rafael Cabanillas Zannini
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No‐regret and low‐regret control for a weakly coupled abstract hyperbolic system
Asian Journal of Control, Volume 28, Issue 1, Page 312-324, January 2026.Abstract This paper explores an optimal control problem of weakly coupled abstract hyperbolic systems with missing initial data. Hyperbolic systems, known for their wave‐like phenomena and complexity, become even more challenging with weak coupling between subsystems.
Meriem Louafi +3 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2018 We deal with a control problem for a coupled system of two degenerate singular parabolic equations in non-divergence form with degeneracy and singularity appearing at an interior point of the space domain. In particular, we consider the well-posedness of
Jawad Salhi
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A theorem concerning Fourier transforms: A survey
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract In this note, we highlight the impact of the paper G. H. Hardy, A theorem concerning Fourier transforms, J. Lond. Math. Soc. (1) 8 (1933), 227–231 in the community of harmonic analysis in the last 90 years, reviewing, on one hand, the direct generalizations of the main results and, on the other hand, the different connections to related areas ...
Aingeru Fernández‐Bertolin, Luis Vega
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Phase‐Lag Integro‐Partial Differential Equation: Local and Nonlocal Solutions
Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.Nonlocal information, such as material deformation, genetic genes, or the history of the disease, are essential as they provide us with additional details that increase the numerical solution’s accuracy. With the help of the phase delay, we may also predict the future of the phenomena we are researching.
Sameeha Ali Raad, Ivan Giorgio
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Carleman Estimates with a Second Large Parameter
Journal of Mathematical Analysis and Applications, 2000 Unique continuation of solutions to linear partial differential equations is of importance in many branches of applied mathematics, in particular, in control theory and inverse problems. The Carleman estimates are an important tool for proving the unique continuation for linear operators with non-analytic coefficients.
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