Results 51 to 60 of about 8,002 (202)

Invariant distributions and the transport twistor space of closed surfaces

Journal of the London Mathematical Society, Volume 109, Issue 5, May 2024.
Abstract We study transport equations on the unit tangent bundle of a closed oriented Riemannian surface and their links to the transport twistor space of the surface (a complex surface naturally tailored to the geodesic vector field). We show that fibrewise holomorphic distributions invariant under the geodesic flow — which play an important role in ...
Jan Bohr, Thibault Lefeuvre, Gabriel P. Paternain   +2 more
wiley   +1 more source

Dynamics for wave equations connected in parallel with nonlinear localized damping

Advances in Nonlinear Analysis
This study investigates the properties of solutions about one-dimensional wave equations connected in parallel under the effect of two nonlinear localized frictional damping mechanisms.
Gao Yunlong, Sun Chunyou, Zhang Kaibin
doaj   +1 more source

Soft Riemann‐Hilbert problems and planar orthogonal polynomials

Communications on Pure and Applied Mathematics, Volume 77, Issue 4, Page 2413-2451, April 2024.
Abstract Riemann‐Hilbert problems are jump problems for holomorphic functions along given interfaces. They arise in various contexts, for example, in the asymptotic study of certain nonlinear partial differential equations and in the asymptotic analysis of orthogonal polynomials. Matrix‐valued Riemann‐Hilbert problems were considered by Deift et al. in
Haakan Hedenmalm
wiley   +1 more source

Resurgent aspects of applied exponential asymptotics

Studies in Applied Mathematics, Volume 152, Issue 3, Page 974-1025, April 2024.
Abstract In many physical problems, it is important to capture exponentially small effects that lie beyond‐all‐orders of an algebraic asymptotic expansion; when collected, the full asymptotic expansion is known as a trans‐series. Applied exponential asymptotics has been enormously successful in developing practical tools for studying the leading ...
Samuel Crew, Philippe H. Trinh
wiley   +1 more source

Perverse sheaves on Grassmannians

, 2002
We give a complete quiver description of the category of perverse sheaves on Hermitian symmetric spaces in types A and D, constructible with respect to the Schubert stratification.
Braden, Tom
core   +1 more source

Inversion formula for an integral geometry problem over surfaces of revolution

Studies in Applied Mathematics, Volume 152, Issue 3, Page 1026-1043, April 2024.
Abstract An integral geometry problem is considered on a family of n$n$‐dimensional surfaces of revolution whose vertices lie on a hyperplane and directions of symmetry axes are fixed and orthogonal to this plane, in Rn+1$\mathbb {R} ^{n+1}$. More precisely, the reconstruction of a function f(x,y)$f(\mathbf {x,}y)$, x∈Rn$\mathbf {x}\in \mathbb {R} ^{n}$
Zekeriya Ustaoglu
wiley   +1 more source

Microlocal analysis of singular measures [PDF]

, 2021
Valeria Banica, Nicolas Burq
openalex   +1 more source

Off‐diagonal estimates for the helical maximal function

Proceedings of the London Mathematical Society, Volume 128, Issue 4, April 2024.
Abstract The optimal Lp→Lq$L^p \rightarrow L^q$ mapping properties for the (local) helical maximal function are obtained, except for endpoints. The proof relies on tools from multilinear harmonic analysis and, in particular, a localised version of the Bennett–Carbery–Tao restriction theorem.
David Beltran, Jennifer Duncan, Jonathan Hickman   +2 more
wiley   +1 more source

Brane structures in microlocal sheaf theory

Journal of Topology, Volume 17, Issue 1, March 2024.
Abstract Let L$L$ be an exact Lagrangian submanifold of a cotangent bundle T∗M$T^* M$, asymptotic to a Legendrian submanifold Λ⊂T∞M$\Lambda \subset T^{\infty } M$. We study a locally constant sheaf of ∞$\infty$‐categories on L$L$, called the sheaf of brane structures or BraneL$\mathrm{Brane}_L$.
Xin Jin, David Treumann
wiley   +1 more source

Shearlets and Microlocal Analysis [PDF]

, 2012
Although wavelets are optimal for describing pointwise smoothness properties of univariate functions, they fail to efficiently characterize the subtle geometric phenomena of multidimensional singularities in high-dimensional functions. Mathematically these phenomena can be captured by the notion of the wavefront set which describes point- and direction-
openaire   +2 more sources