Results 11 to 20 of about 2,184 (136)
IET Microwaves, Antennas & Propagation, 2023 This study proposes an analytical formulation in complex coordinates to synthesise three‐dimensional single‐shell dielectric lens surfaces. An exact formulation based on geometrical optics is developed, and the synthesis problem is modelled as a non ...
Aline Rocha deAssis +2 more
doaj +2 more sources
Geodesics in the space of relatively Kähler metrics
Journal of the London Mathematical Society, Volume 108, Issue 3, Page 1036-1081, September 2023., 2023 Abstract We derive the geodesic equation for relatively Kähler metrics on fibrations and prove that any two such metrics with fibrewise constant scalar curvature are joined by a unique smooth geodesic. We then show convexity of the log‐norm functional for this setting along geodesics, which yields simple proofs of Dervan and Sektnan's uniqueness result
Michael Hallam
wiley +1 more source
Existence and Uniqueness of Green's Functions to Nonlinear Yamabe Problems
Communications on Pure and Applied Mathematics, Volume 76, Issue 8, Page 1554-1607, August 2023., 2023 Abstract For a given finite subset S of a compact Riemannian manifold (M,g) whose Schouten curvature tensor belongs to a given cone, we establish a necessary and sufficient condition for the existence and uniqueness of a conformal metric on M\S such that each point of S corresponds to an asymptotically flat end and that the Schouten tensor of the ...
Yanyan Li, Luc Nguyen
wiley +1 more source
Massively parallel computation of globally optimal shortest paths with curvature penalization
Concurrency and Computation: Practice and Experience, Volume 35, Issue 2, 25 January 2023., 2023 Abstract We address the computation of paths globally minimizing an energy involving their curvature, with given endpoints and tangents at these endpoints, according to models known as the Reeds‐Shepp car (reversible and forward variants), the Euler‐Mumford elasticae, and the Dubins car. For that purpose, we numerically solve degenerate variants of the
Jean‐Marie Mirebeau +4 more
wiley +1 more source
On subvarieties of singular quotients of bounded domains
Journal of the London Mathematical Society, Volume 106, Issue 4, Page 3208-3239, December 2022., 2022 Abstract Let X$X$ be a quotient of a bounded domain in Cn$\mathbb {C}^n$. Under suitable assumptions, we prove that every subvariety of X$X$ not included in the branch locus of the quotient map is of log‐general type in some orbifold sense. This generalizes a recent result by Boucksom and Diverio, which treated the case of compact, étale quotients ...
Benoît Cadorel +2 more
wiley +1 more source
Shock and Vibration, Volume 2022, Issue 1, 2022., 2022 Early arrival waveform inversion (EWI) is an essential approach to obtaining velocity structures in near‐surface. Due to suffering from a cycle‐skipping issue, it is difficult to reach the global minima for conventional EWI with the misfit function of least‐squares norm (L2‐norm).
Chao Zhang +3 more
wiley +1 more source
On some exact solutions of heavenly equations in four dimensions
AIP Advances, 2020 Some new classes of exact solutions (so-called functionally invariant solutions) of the elliptic and hyperbolic complex Monge–Ampère equations and of the second heavenly equation are found. Besides, non-invariance of the found classes of solutions of the
Ł. T. Stȩpień
doaj +1 more source
Games associated with products of eigenvalues of the Hessian
Mathematics in Engineering, 2023 We introduce games associated with second-order partial differential equations given by arbitrary products of eigenvalues of the Hessian. We prove that, as a parameter that controls the step length goes to zero, the value functions of the games converge ...
Pablo Blanc +3 more
doaj +1 more source
Lp‐Curvature Measures and Lp,q‐Mixed Volumes
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 Motivated by Lutwak et al.’s Lp‐dual curvature measures, we introduce the concept of Lp‐curvature measures. This new Lp‐curvature measure is an extension of the classical surface area measure, Lp‐surface area measure, and curvature measure. In this paper, we first prove some properties of the Lp‐curvature measure.
Tongyi Ma, Raúl E. Curto
wiley +1 more source
New Results on the Radial Solutions to a Class of Nonlinear k‐Hessian System
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 This paper investigates the positive radial solutions of a nonlinear k‐Hessian system. ΛSk1/kλD2z1Sk1/kλD2z1=bxφz1,z2, x∈ℝNΛSk1/kλD2z2Sk1/kλD2z2=hxψz1,z2, x∈ℝN, where Λ is a nonlinear operator and b, h, φ, ψ are continuous functions. With the help of Keller–Osserman type conditions and monotone iterative technique, the positive radial solutions of the ...
Guotao Wang +2 more
wiley +1 more source