Results 121 to 130 of about 2,989,822 (277)
10. Time-harmonic electro-magnetic scattering in exterior weak Lipschitz domains with mixed boundary conditions [PDF]
, 2019 Frank Osterbrink, Dirk Pauly
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Semiclassical inequalities for Dirichlet and Neumann Laplacians on convex domains
Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 762-822, March 2026.Abstract We are interested in inequalities that bound the Riesz means of the eigenvalues of the Dirichlet and Neumann Laplacians in terms of their semiclassical counterpart. We show that the classical inequalities of Berezin–Li–Yau and Kröger, valid for Riesz exponents γ≥1$\gamma \ge 1$, extend to certain values γ<1$\gamma <1$, provided the underlying ...
Rupert L. Frank, Simon Larson
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An introduction to the Cheeger problem [PDF]
Surveys in Mathematics and its Applications, 2011 Given a bounded domain Ω ⊂ Rn with Lipschitz boundary, the Cheeger problem consists of finding a subset E of Ω such that its ratio perimeter/volume is minimal among all subsets of Ω.
Enea Parini
doaj
Toward Dynamic Phase‐Field Fracture at Finite Strains
PAMM, Volume 26, Issue 1, March 2026.ABSTRACT We investigate the evolution of dynamic phase‐field fracture in the finite‐strain setting, extending our previous work in the small‐strain viscoelastodynamic regime. The elastodynamic equations are coupled with a dissipative damage evolution for the phase‐field variable z$z$.
Sven Tornquist +4 more
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Null sets of harmonic measure on NTA domains: Lipschitz approximation revisited [PDF]
, 2010 Matthew Badger
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PAMM, Volume 26, Issue 1, March 2026.ABSTRACT Regularity properties of solutions for a class of quasi‐stationary models in one spatial dimension for stress‐modulated growth in the presence of a nutrient field are proven. At a given point in time the configuration of a body after pure growth is determined by means of a family of ordinary differential equations in every point in space ...
Julian Blawid, Georg Dolzmann
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Exploring Imprecise Probabilities in Quantum Algorithms with Possibility Theory
PAMM, Volume 26, Issue 1, March 2026.ABSTRACT Quantum computing utilizes the underlying principles of quantum mechanics to perform computations with unmatched performance capabilities. Rather than using classical bits, it operates on qubits, which can exist in superposition and entangled states. This enables the solution of problems that are considered intractable for classical computers.
Jan Schneider +2 more
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The Krein-von Neumann Realization of Perturbed Laplacians on Bounded Lipschitz Domains [PDF]
, 2015 Jussi Behrndt +3 more
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A Generalization Error Bound of Physics‐Informed Neural Networks for Ecological Diffusion Models
Stat, Volume 15, Issue 1, March 2026.ABSTRACT Ecological diffusion equations (EDEs) are partial differential equations (PDEs) that model spatiotemporal dynamics, often applied to wildlife diseases. Derived from ecological mechanisms, EDEs are useful for forecasting, inference, and decision‐making, such as guiding surveillance strategies for wildlife diseases.
Juan Francisco Mandujano Reyes +4 more
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